{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"http://hilpisch.com/tpq_logo.png\" alt=\"The Python Quants\" width=\"35%\" align=\"right\" border=\"0\"><br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Python for Finance"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Analyze Big Financial Data**\n",
    "\n",
    "O'Reilly (2014)\n",
    "\n",
    "Yves Hilpisch"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img style=\"border:0px solid grey;\" src=\"http://hilpisch.com/python_for_finance.png\" alt=\"Python for Finance\" width=\"30%\" align=\"left\" border=\"0\">"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Buy the book ** |\n",
    "<a href='http://shop.oreilly.com/product/0636920032441.do' target='_blank'>O'Reilly</a> |\n",
    "<a href='http://www.amazon.com/Yves-Hilpisch/e/B00JCYHHJM' target='_blank'>Amazon</a>\n",
    "\n",
    "**All book codes & IPYNBs** |\n",
    "<a href=\"http://oreilly.quant-platform.com\">http://oreilly.quant-platform.com</a>\n",
    "\n",
    "**The Python Quants GmbH** | <a href='http://tpq.io' target='_blank'>http://tpq.io</a>\n",
    "\n",
    "**Contact us** | <a href='mailto:pff@tpq.io'>pff@tpq.io</a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# DX Library"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from pylab import plt\n",
    "plt.style.use('seaborn')\n",
    "import matplotlib as mpl\n",
    "mpl.rcParams['font.family'] = 'serif'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "uuid": "f087ed8b-b432-48a9-a791-451ac477c046"
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import datetime as dt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "uuid": "1d45b83a-110e-4c94-9404-859554d3f2d7"
   },
   "outputs": [],
   "source": [
    "import sys\n",
    "sys.path.append('../python36/dxa')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## DX Frame"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "uuid": "278721fb-d9a8-4270-a7d5-62f85cff52f0"
   },
   "outputs": [],
   "source": [
    "from dx_frame import *"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Risk-Neutral Discounting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "uuid": "c10b29e3-bd0a-4c3f-83ea-234cc959fa5b"
   },
   "outputs": [],
   "source": [
    "dates = [dt.datetime(2015, 1, 1), dt.datetime(2015, 7, 1), dt.datetime(2016, 1, 1)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "uuid": "6ae9c451-fdf0-41b0-9b4e-89f57c2bcc3c"
   },
   "outputs": [],
   "source": [
    "deltas = [0.0, 0.5, 1.0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "uuid": "ed812d8b-0e9d-47ab-8793-4bede4dfaf36"
   },
   "outputs": [],
   "source": [
    "csr = constant_short_rate('csr', 0.05)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "uuid": "1ebd8c12-ee83-46cd-a0b6-7439aa8756b4"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[datetime.datetime(2015, 1, 1, 0, 0), 0.951229424500714],\n",
       "       [datetime.datetime(2015, 7, 1, 0, 0), 0.9755103387657228],\n",
       "       [datetime.datetime(2016, 1, 1, 0, 0), 1.0]], dtype=object)"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "csr.get_discount_factors(dates)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.        ,  0.49589041,  1.        ])"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "deltas = get_year_deltas(dates)\n",
    "deltas"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "uuid": "c545e941-ad55-4975-abdd-2071c0453b0a"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0.        ,  0.95122942],\n",
       "       [ 0.49589041,  0.97551034],\n",
       "       [ 1.        ,  1.        ]])"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "csr.get_discount_factors(deltas, dtobjects=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Market Environment"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "uuid": "455e1e9e-45be-4c74-b2d3-5dac6132d568"
   },
   "outputs": [],
   "source": [
    "me_gbm = market_environment('me_gbm', dt.datetime(2015, 1, 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "uuid": "3d703766-a01a-458a-8730-ab52da923737"
   },
   "outputs": [],
   "source": [
    "me_gbm.add_constant('initial_value', 36.)\n",
    "me_gbm.add_constant('volatility', 0.2)\n",
    "me_gbm.add_constant('final_date', dt.datetime(2015, 12, 31))\n",
    "me_gbm.add_constant('currency', 'EUR')\n",
    "me_gbm.add_constant('frequency', 'M')\n",
    "me_gbm.add_constant('paths', 10000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "uuid": "946be8e3-9d32-42ec-becf-7174d6d37cb7"
   },
   "outputs": [],
   "source": [
    "me_gbm.add_curve('discount_curve', csr)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## DX Simulation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sn_random_numbers import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[[-0.8044583 ,  0.32093155],\n",
       "        [-0.02548288,  0.64432383]],\n",
       "\n",
       "       [[-0.30079667,  0.38947455],\n",
       "        [-0.1074373 , -0.47998308]]])"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "snrn = sn_random_numbers((2, 2, 2), antithetic=False, moment_matching=False, fixed_seed=True)\n",
    "snrn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[[-1.67972865,  0.81075283],\n",
       "        [ 0.04413963,  1.52641815]],\n",
       "\n",
       "       [[-0.56512826,  0.96243813],\n",
       "        [-0.13722505, -0.96166678]]])"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "snrn = sn_random_numbers((2, 2, 2), antithetic=False, moment_matching=True, fixed_seed=True)\n",
    "snrn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-1.3877787807814457e-17"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "snrn.mean()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Geometric Brownian Motion"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "uuid": "5e40de07-230f-4e0a-b993-4081ec791fe7"
   },
   "outputs": [],
   "source": [
    "from dx_frame import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "uuid": "b630a638-da9f-4084-9e2b-14b0e1565fd6"
   },
   "outputs": [],
   "source": [
    "me_gbm = market_environment('me_gbm', dt.datetime(2015, 1, 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "uuid": "a49a07ca-f6e7-495e-acc1-edfb73b22edd"
   },
   "outputs": [],
   "source": [
    "me_gbm.add_constant('initial_value', 36.)\n",
    "me_gbm.add_constant('volatility', 0.2)\n",
    "me_gbm.add_constant('final_date', dt.datetime(2015, 12, 31))\n",
    "me_gbm.add_constant('currency', 'EUR')\n",
    "me_gbm.add_constant('frequency', 'M')\n",
    "  # monthly frequency (respcective month end)\n",
    "me_gbm.add_constant('paths', 10000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "uuid": "520e0490-b29b-441e-a2f7-ae89fc87cf0f"
   },
   "outputs": [],
   "source": [
    "csr = constant_short_rate('csr', 0.06)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "uuid": "bac36a29-b2b5-4f62-b848-7cb6f382dc9b"
   },
   "outputs": [],
   "source": [
    "me_gbm.add_curve('discount_curve', csr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "uuid": "f9193b81-e8d5-48ea-a86a-94a15a01022f"
   },
   "outputs": [],
   "source": [
    "from geometric_brownian_motion import geometric_brownian_motion"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "uuid": "a00112c1-422e-4140-83e9-1388bc660b11"
   },
   "outputs": [],
   "source": [
    "gbm = geometric_brownian_motion('gbm', me_gbm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "uuid": "a6f31102-77b0-4076-a9d6-7a92f3ffdc5e"
   },
   "outputs": [],
   "source": [
    "gbm.generate_time_grid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "uuid": "ac81750e-be2b-403b-8260-20822f5307a7"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([datetime.datetime(2015, 1, 1, 0, 0),\n",
       "       datetime.datetime(2015, 1, 31, 0, 0),\n",
       "       datetime.datetime(2015, 2, 28, 0, 0),\n",
       "       datetime.datetime(2015, 3, 31, 0, 0),\n",
       "       datetime.datetime(2015, 4, 30, 0, 0),\n",
       "       datetime.datetime(2015, 5, 31, 0, 0),\n",
       "       datetime.datetime(2015, 6, 30, 0, 0),\n",
       "       datetime.datetime(2015, 7, 31, 0, 0),\n",
       "       datetime.datetime(2015, 8, 31, 0, 0),\n",
       "       datetime.datetime(2015, 9, 30, 0, 0),\n",
       "       datetime.datetime(2015, 10, 31, 0, 0),\n",
       "       datetime.datetime(2015, 11, 30, 0, 0),\n",
       "       datetime.datetime(2015, 12, 31, 0, 0)], dtype=object)"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gbm.time_grid"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "uuid": "a480cd1f-a793-476b-bdd2-a79b568a1872"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 8.16 ms, sys: 2.97 ms, total: 11.1 ms\n",
      "Wall time: 10.6 ms\n"
     ]
    }
   ],
   "source": [
    "%time paths_1 = gbm.get_instrument_values()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "uuid": "aed54761-2093-409d-912a-fded6f76b418"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 36.        ,  36.        ,  36.        , ...,  36.        ,\n",
       "         36.        ,  36.        ],\n",
       "       [ 37.40294432,  38.1202286 ,  34.39982796, ...,  36.25237338,\n",
       "         35.08385942,  39.66803061],\n",
       "       [ 39.52141274,  42.25526228,  32.4373032 , ...,  34.85854718,\n",
       "         33.65945317,  37.68717766],\n",
       "       ..., \n",
       "       [ 40.49192111,  33.44349499,  23.52000117, ...,  37.87510754,\n",
       "         30.14200933,  30.47215628],\n",
       "       [ 42.4832345 ,  36.9254123 ,  21.90666563, ...,  36.03678387,\n",
       "         30.9275866 ,  30.73817091],\n",
       "       [ 43.76599201,  37.80507666,  24.12339514, ...,  36.28631617,\n",
       "         28.15660098,  29.06263533]])"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "paths_1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "uuid": "e6dfa29f-27df-4e30-ba44-7f784425d4d9"
   },
   "outputs": [],
   "source": [
    "gbm.update(volatility=0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "uuid": "d1ec64b1-5f80-4c8b-b4ef-d1cbe2622d31"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 6.47 ms, sys: 1.85 ms, total: 8.32 ms\n",
      "Wall time: 6.74 ms\n"
     ]
    }
   ],
   "source": [
    "%time paths_2 = gbm.get_instrument_values()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "uuid": "48e79769-db06-4973-8e3a-a8933df14b1e"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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M6uwZJUA48ue134eRg2/cUh1a61nkiPwkbP8FAOnKFVQpyXgefezeWhS8XgK7\nvo9h9UokqxXbx5/449llCU/U42kGrON2oz7+n9IFeOSw0g145DCGdWuuvf7fAsDw7XJ0u35WAihA\ndfEC5kH9Mnze2IvxoFKhPv4fYfWew/peZyyjxwFg7tcbw8plt+wjpwnINKDRYmvVFmvfgQAEjBqG\nds8vJK78DoxGXM/VvMdayTjT1ElILpfS+pSbAmVZJrjZm2j+OqJMjHzz/zizUlMJGPcZxpnTkDwe\n7G+8RerwMbk2eMppuegqEHKD/w9CchPTxHEY58/B/VRZkr9ZnO4YDvvrbyGr1RgXzUe3Yxu6Hdvw\nhodjb9oCe8s2eEpHZku5Bf8J/LAjroqVsLfreGvAI0l4i5fAWbwEzldfu7H8eiu73Y67ajW8N3Xr\nGVYsxTxiMLIpAPdTZXxdf75xQncLtmUZc79eGFavxFW5qnIb94NEo8Hz+BN4Hn8CR5NmyjJZRnXx\nArLRiPnaZqmjPkeVmODruvEWK0bSvMVIbhe4XOB2I13/7XYpLUpul7LM5fLtJ4eEYGv3ntIidY27\nwtM4rNabtr9pX48bXO4b5zEYfPtJ8XGozp5Be2Afrhq1sryqVJcvYVi8AE+x4rnv/VGSsLdpT9D7\nHQhu9Q4Jm7ZlboJkjwfNHwfQbfkRw/KlqC+cx1O8BCljv7ila1hIS3ThCQAYZn+Nu2JlX3+66sxp\nwpNiiC3np2kP7pNhyUICu3+Ep2gxEjduyfSklOroYxgWL8CwYgmqeOWuPVfVatjebY3jtTfAZMqK\nYt9CXJ/3TnX+HKF1quMuV56kVd/7unnup051WzejX/0tmr8Oo/43GummpJWyVov72jghd9lyuKrV\nwHPTwHDTmBEEfDEO95NlSFy7ATkk9P6eYC4jrtUbAgb1xTRjGikTvsTequ09Hycr69T02XACJo7H\n+VxNklasTfcOUM2hPzDOnI5u20+o4uIAkPV6rB90xdqjd5Z2h/pTTnbhiQBKQP3XEUJfqInn0cdI\n2LUXXC7Cy5RGFWgmdt+RHG+u1v20iaDWzZGDg0lc/5Myh9i9cjjQb9qAYeF8dDu3A+ANDCJ51jfZ\n8m1LXJ/3R4qNRbJa8BYv4Vvmtzq12dAc+1vpzjp86MY4oWsTuFo7fYBl5FgAAju2xfDdajzFipOw\nYUuevPNTXKsKKT6O8KefxBsWTvzvf97XEIAsrVOvVxkfuvF7bK3bkzpuYpqxZOp/o9Ec2IejeUsA\ntNt+IqTZW3gKFMT5Qn2cLzbAWasOmM13OEHuJMZACTlHlgns2xPJ6yV15BiluV2txvF2U4xzZ6H7\nYQPORjl3u67q3FmC3msDOh0sinvQAAAgAElEQVRJi1bcX/AEoNfjaPwmjsZvojpzGsPShRhWLsf9\nVFllvcuFYdliHI3feGimI3ggeL2gUiFHRCCTRRm4jUbcT1dMe1fTTeOErl97+qWLMHy3GhlIXLoK\nuUABVKdPYR7cL21Sy8JFHuqklnmFHBpG0qIVSnb43Dx+UqUieeoMQhudxrhgLu5SpXC80cQX3JsH\n9EH383bi6j6Pt2AhXNVrkrBlJ+4y5XL8jsIHlWiBesjply8hqOv7OF55jeR5i3zL1f9GE1ajMs4a\ntUhavT4HSwjGaVPwlCqFs/7LWXOCa5mjAXQb1xPctkWa1gZ/Etdn5qlOnST43SZYRnyG8/n6t6zP\nzjrVbfieoA6tkM1mUgePwNG6nbJ8/TqC27dMs603LMyXUsFV5VmcDRo+UAGVuFb9L6vrVHXpIvoV\nSwkY9xk4nbiq1yRp7QZA6a6WYmNxvvraA5mu4k5EF54fiRd9xklJiYRVq4hkSSX+l/3KNBA3iWj+\nBmzdSvzO3/E8/kT2li01BTnAnO0fOFJMDIalC3E2eEW5m0WWCerQGlelKtibNr/vvEK5/vq81uLi\nKVU6x7turwtq2RT95k0kz5yH4/W3QJaRUpKVO7RMpmyrU+3OHQS3eBs0WhJXf4/7mUpp1ktXrqD9\n65DS/XfkMJojh1CfOe1bnzJ+MvZrAdeDINdfq9lA98MG3E88ibdESb8cz+916vGgObgf3ZYf0f20\nGe1fh32rZJQxTYnbf73/lvtcTARQfiRe9BkX0L83ptkzSB0wBFu3nresj/hlK7zxBra2HUj9fGK2\nlUtKSSbktZdxVa5C6pgJOdq8rDp9irCaVZAcDmStFsfLr2J/tzWu2nXvqVy5+frU7voZ84A+qC5f\nIv7g0az/lupwICUmokpMQEpMxF2mLAQEgMuFacJYvIUK4y1YiOBW7+AuFQkeN6qkRKTERCSvF2+A\nmeT5Swh5q1HW16nNRljlcqgSE5RErbXqZGg3KTkJzcEDBLd4G0/pSBJ27HlgWqFy87WaHaSkRMKe\nKYMcEED8waN++ULhlzpNTUW/5Ud0mzeh277lxgBwnQ5X9Ro46jfA+cJLaH/fQ1DX93E/VorEH7bm\nuZscrhNjoIRspz5yGOPcWbgfK4Xt/S6+5Zo/DqDbtgVr1x7w6qt4ijyCYcUyLAOHZt+YIKtN6Vbz\neHP8w8ZboiRxh45hWLUCw6L5GNatwbBuDZ6ixbC3aIW9eUtlrMsDTHXuLOYhA9Cv/w5ZkrB26+kL\nnvRrvkUVG4OtZdt071RUnTuL+uQJ3BWeRg4OAa+XgOGDkRITUCUm/t/vBCSrNc3+CT/9rOQfUqsx\nTRqPu2JlVFcuI2s0OF57HcOi+Xgj8iOXisQbHIzu5+0EtWkBxbZBifvIfZMRRiPJ85egionJcPAE\nIAcF46pTD0fDRhjWrUGz93fcVZ/NunIKfiObA0kdP0mZay4nW2NlGXX0MV+rsDrmMkGdlJZMT8FC\n2Fq1xfnCSzhr1k4zANxRoiTW6GPoNqxDSkjIswFUThItUA8jr5eQRi+h3fc7icvX+KY9UZ0+RWj9\n2qgSE7G1ew/j3FmkDhyKedQwUkZ/jv2997OtiFJqCrLBmGu6kQCQZTQH9yvpEFZ/i2S1IKtUOOu9\ngL1lW5wvvpTurcO56vq02TBNnYRpykQkux1XpSqkfjYOb3AImuhjSIkJBIwciupqLPamzZEcDiXw\nSUpESlCCIGeN2qTMng/cuI06cd0mX66ffCUKpgmUvEHByCGheENC0vyWQ0OxtWrryxiv+W0P+jUr\nMc2bjfWjbliGjLil+Lr16wh6rzVSaCjx323CExnl9ypSnTuLHBSkBISZ5XCg/34txnmzcdR5Ht3+\n37H0HZh1U2/4Wa66VvOIDNfpTeMyA0YMwTRlIgnrfvTNeWecNR3Xs9WVAeB3+5Lp8Sjvpfdy/T4g\ncn0XXlRU1G+A/dpDT3R09PNRUVFhwBjgJFAa6B8dHX3lbscRAVTuoF+2mKCPP8DR6HWS5yxQFlqt\nhL7yIpqjR/BG5EcVGwPz5nG1am3CKzyuTF/wy/4s7U4zTRiLs+7zt4wtyY2k1BT0a1djWDwf7YH9\nANhatSN1wuS77pcrrk9ZRrd+HeahA1CfO4unQEEsg4fjePsdkCRMX3xOwJiRd95dpUIOC8MbFo6r\nZm1SPxsPKNNpaH/7Ffvb7/jSDGgO/4lsNuMNCVVaMDMYEKtOnSSsVlW8YeEk/LLvjt2JhsULCOzR\nBU/hIiSu33zLOL77IcXHEdqgHnKAmYQNP2U4V5jq/DkMC+ZhXDQf1dVYACzde2HtP9hvZcsOueJa\nzSHaPb/gjnwcOTwTCSkz4G51qrpwHt1PP6Lb8iOS1eq7eUe7YxuGxQuwde2Ou1yFez63+t9oNH8d\nxvFmk3s+Rm70IHThbYqOjh76f8tGA1uio6NXREVFNQLGA63urYhCtrFYMA8fhGwykTp8tLJMlgn8\npCuao0ewtW6P9aOPCa1fB9X776NevxnH629hWLEU7c4duOrUy5JiGadPJWDsKHQ/biTxxx053nWX\nHtkciL1lG+wt26A++heGJQtwNHrDtz5gyADc5corb1a56Lmoj/2j3M6862dkrRZrl+5YP+mdJkBx\n1qqDrNMjh4YqgU9IiPI7NJTAjz9At3MHWG04m76E9YOuvv1cz9W8ZUqNe3rDl2XMA/ogORxYho++\n61gs+7utCXRZUffpQ3CTxiRu+ClzWZjvVozgEJy16+END0s/ePJ60e7coaT+2PyDMkYrNBTrhx9j\na9Meb8lHASWnmatcBeRMJoIVspHFQlD7lsh6A/H7szAPnseDZv8+ZTzTTz+i+fsv3yr340+A3Q4G\nA6469e7/fdftJrhlU1Tnz+GqVCXXzA36oMtoC9QqYC9gBPZFR0dviIqKOgdUj46OPnetNep4dHT0\nXSfMES1QuYP25+2oLl7wJVQzzvgK86B+uCpWJnHtRtDr0W3dTHCLJniKPELKF1MIafo69rffIWXa\nLL+XR796JUHvd8BTsBCJG37CW7SY38+RnVSXLhJW4Qlc1Z4jae1GZeG1JvmcvD6lmBjCn3kSyenE\n8fyLWEaOwfOYcneOdOUK+i0/Ym/R6u4Bn8WCcdE3GL/6EvXlS8h6PfYWrbB26e63/5tu00aCWzfD\nWbM2Sd+uSzcAjYgIxNq1B6rLl0iZPC3dbtR0eTw3Zpy//v54hzJIiQkYli/BMG82mpMnAHBVeBpb\n+044Gr+ZJpuzdvtWQt55A6/ZTNzx87k+987D+l5qnD4V85D+WHp+ivXTAX49doTaRfLKtUpL0/Yt\nvlkRZL0+zQDwmxPF+ov2t19RXTif+6aiuU852QKFLMvp/kRGRla59lsdGRn5S2RkZK3IyEhHZGRk\nyLXlmsjISDkyMlJzt+O4XG5ZyIVmzZLlYsVk+cKFtMtHjJDlZ56R5bNnZfn772XZbvf/ubdskWWt\nVpaDgmT50CH/Hz+n/PuvLB84cONxly6y3LOnLNts2VsOj0eWY2JuPB41Svlf/r+33pJlkOX16zN2\nXLtdlmfMkOWSJZX9NBpZbtdOlqOj76+8FossFy+uHO/vvzO+n9erPNebH98Lu12WX3pJlsePT3/b\n2FhZDghQnr9eL8tt2sjy3r133t7tluWoKFmOjLz1tSbkDlarLBcoIMtmsyzHxfn32Hb7jesFZLlw\nYVnu1EmWv/tOllNT/Xuu9Hg8ymtNyIg7xjSZHkQeFRU1BrAB7yFaoB4cXi+msSOxt26Pt8gjt66/\n1lx8s4jwAGIvxN2y3F/URw4T0vhlJKeDpOVrsmVG9RyRmkroi7XQnDgOTz1Fwpdf4y5bPlvOG/Lm\nK6A3kLhu011bclQXzmNY+I3yjTszXY5uN/rVKzFNnoDmv3+RVSocjd/A2q0XniefynSRtdu2ENyy\nKbb3u2AZPDxD+/z/a96w8Bt027eSPHNe5rpfPB4CO7fHsG4NjhdfInnBshstUaAMCl+3Bk9klHK3\nIGD+pCueR0thb9EyY12HVqvSKpWLunXv5GF8LzXM/prA/n2wduuJZcCQ+zqWlJyEceZ0XBUr+27U\niRg7DIvOhOOFl/CUKZsz14HNRtBHnZCsFpIWr0x7jediqvPnMCxbjG7zDyR+v9k3mXxOtkCl24Yc\nFRX1eFRUVIebFpUGjgMbgGrXlj137bGQS+k2bSRg4ngCRg1TFjgcmCaOUwInuH2QpFL5lmsO7kf/\n7XKMX08Fm+2+y6M6c5rg5m8hWVJJ+Wpm3g2eAMxmErbswta+Ixw9SshLdZW6d7uz/LzeQkXwPFJU\n+eC+nWtfoLxFHsHad2Dm39A1GhxNm5Oway9JcxbgfrIMhjWrCBhxbwOmXfVeIGHbL1g+6XNP++P1\nol+7Gu2e3ajOnc34frKMuU8PDOvW4Kz2HMmzF9zywaL54yBBH3XCOPXGjQKpX0zB1qVbxsddmUwg\nSaj/+5fgxi9nroxC1nI4ME2ZhGwyYe380X0fTnXhAgGfj8Y0fcqNhePHY+3RG0/ZdO6ey0o6HZLV\ngm7bFgKGDsyZMmSUw4F+7SqCmzQmrGIZAj4fjebff9H8czSnSwZkYAxUVFRUYeAr4CAQBGiBT4AQ\nYCxwBngM6CvuwsvFvF70K5biqlUHb+EimCaNJ2D0cCy9+2Ht3e+2u/jqMjWV8EplkFJTkZxOkr+c\njqPZu/dcFCkujpBXXkBz8gSpo8Zi6/jBPR/rQRPxxx48bduhvnQRV8XKpHw1A8+jpfxzcKcT48zp\nqE/8R+rEqcoyl+uOY4KkK1cIbtWU1BFj/ZebSJbRbfkRb8FCvlY24+QJuKs8i6vac3fdD1n2S3JS\nKTUFVcyVTNXr9VvFXWXLk7RmPbI5EO2OrRjnzcYyeASe0pEgyxinTsbRqPF9ZaaW4uII6tgG3e6d\nuJ5+hsR1P/q+TecmD9t7qWH+XAJ7d8f6QVcsw0Zlen8pKRHjzOk4X3wJd4VnAGXqH2ftur78TLml\nTqXkJEIavoDm32hSJk7F/m7rnC5SGuq/jmBYsgDDqhWoEhIAcFV5Vsm999obafJd5fo0Bv4iAqhc\nxG7HNHUS1o+6pRnoerOb61K3cT2SJRXV1avYm79770nZLBZC3m6E9sB+rF17YBk07F6fwQMpIiKQ\nq/+dxdy3F4bVK5W7IQePwN7uvfv6RqrbupmAgX3RnDiONyyM+F37kCPuMumux0Nwk8bodu8kdcRn\n2Pzwjft2VOfOElapLO5yFUjcvOOOz1H3wwZMX04gZeJXmZ426K63hl++hG7bFmVw/B0Yv5yIeeQQ\n3I+VImnhMvSbf8T4zWzUp08BkDp4BLYu3TJVprtKTSW8XBSSx41ks2Fr3V5J2JjLPFTvpS4XYc8+\njSo2hrh9R3wT8GaElJSIccY0jDOno0pOwv7m26R8Pfe22+amOlWdPEHoy/WQUlNJ+nbd3b/gZAMp\nMQH96m8xLFmI9vCfAHgj8mNv2hx7i1bKl5jbeBDSGAgPKM2hP9CvXIa1T38lD4/DoXzbNRiw9uqb\n4eM4G75644HbDV7vPbUWmGZNR3tgP/YmzbAMHJrp/fMCOSSUlK/n4Hz5Fcx9ehDYtyf6TRtImTwN\nb6HCmTqW6uQJzIP7od+8CVmlwtahE5Y+/ZFD7zocEdOEseh278TR4BVsnT68n6dzV96ixUjc8BN4\nbyQGNH49FU/R4jhffsV3DWl/+xXN4UN+H48R2Lk9uj2/gMeDvVXbW9YbFn6DeeQQvBERuMuUI6xe\nDSS7HdlgwNa8JfZ27/laE/zGbMbRtBnGubPwPFIM44K5uCpVvq9WXeH+GFYuQ33uLNb3Omc4eJIS\nE24ETinJeMPDlWC7bYf0d84FvI8+RvKchQQ3fZ2g9i1J2LQ9S+7+yyjj9CkETByPrFbjaNAQe/NW\nOF+of/931WYh0QKVl3m9hDR8Hu3BAySuXo+7dBShr7yItdsnt/0w+X+3q0spLo6g91rjKVHyRjdR\nZrjdGOfNwtb2vVz9wsgq/1+nqsuXMPfogn7rT7gqViJx49aMtUSlphIweQLG6VOQnE6cz9UkdeRY\nPE+VSXdX7c4dBDdpjPeRoiRs3ZWtUzxIKcmEl41EslpxP/4E1m49ldv9NRpUZ07f0xv43V7z6v/+\nJaRRfaTERJJnzcfZqLFvnX7lcgK7dAK1GunaeDRPiZLY2r6HvVkLv+WTum25/vmbsNrP4qxaDc0/\nfyM5HSRs3KoMLM4lHpr3UrebsOoVUV28QPzeQ+lOzXRL4JQvH9YPuymB001dS7eTG+v0etel+4kn\nlTxqWT0H5jXGaVPQbd1M0srvQKVCdfoU+u+/w9G0Gd5M5EnL1YPIhQeXYclCtAcPYH/jLVxVniX4\nvdaoz55GSkq694PKMtp9ezEsXoBu1YoM76Y+9o/yh0ajjHl6CIOn2/EWLETykm9JGT+Z1JFjbwRP\nHs/td5Bl9KtWEFa9IqbJE/BG5Cdp9nySVq/PUPAkXblC0AfvgUZD8qxvsn1+LDkwiITNP2Nv2hz1\nf/8S9MF7hFWviGHxgky3vmWEp3QkSUtXIRtNBH3QAe3P2wEwLJhH4EcdkWQZ3G4cL71M4rJVxP/2\nB7YPu2Zp8ATgeeJJXFWroft9D5ZBw5DsdoLbt0RKSszS8wq3UkcfQ4qPx9681V2DJykxAdOYkYRV\nLEvAhLGg15M6ZCRx+44oXbzpBE+5lb1Ne2wdOqH5528C3+9w5/ee++VwpLlpQvPPUbQH9qE+cRxQ\n5h21de2eqeApp4kAKo+S4uMIGDkEb4AZy9BRmIf0R/v7HuyN38T20cf3fFw5Xz6snT5AAoJ6dEF1\n6mS6+xgWzCO09rPoly2+5/PmaZKEvXU73BUrA9fGJjxXCe32rWk3u3qVkNcaEPTBe6gS4rH0/JT4\nX/bjfO2NjLVaeTwEfdABVWwMlsHDc2zKHE9kFClTZxC/5yCeIo+gOnOawB5dCKtaAcPsr/1yl+fN\n3E9XJPmbxeD1Ety6OZqD+8HrUer9zSbE7z9C8sLluOq9mK3JLa939ahPn8LarSfq06cI7Pq+0j0u\nZBvPU2WIP3AESzpJM4NaNyfgi8+VwGnoKOL2HVbeSwMCsqmkWSd1xBicteqi37yJkNcbojp7xm/H\nVh/9i4CBnxJePkr58naNZcAQ4v76745jmx4EIoDKowJGj0AVH4+1dz9liok5M3E/8SQpE6fe9+2z\nth698Or0yrfmti3AYrnr9q5nKuF5sgyuKmIW+ozQ/nkQ9bmzqBLi0yyXQ0PBZsPRsBHxu/cpOZsy\nOD8bZN+4p4zS/H0U9YXzuKpWw9rpQ1TxcQT270N4pbIYp0xCSvVfs7z6wnmlm85uI7jF27iq1yTu\ncDQpX8/JsWktHK82xhsejmHpQizde+GsWQf9po0Yp0zMkfI8zOTgEOR8+dIskxLi0W3d7Hts6/YJ\nqcNGE7f/CLYPu+aJwMlHoyF5znwcr7yGOvofZP395f6TkhIxzJtNSP3ahNWtjmnmdFCpcVWq4mvh\n8hYslG3dhVlFjIHKgzR/HCCkQT3lm/7kaYS83hBZpydh8w68jz6W4ePcrS7NfXtinKtM62J/swkp\n02ffGpjdNKN4mr8fYhm9PlVnz+AtXATDgnmoYq7grPci7ipVlZnV7+FNJ824py070x1knuWsVsJq\nVEZ15TIJO/bgKR2JdPUqxpnTMM6ZiSolOcN3B96uTjV/HMCweKEy36PJhJSSjLlXd9Rnz6A9sC9L\nJh++FwHDB2OaOonkabNw1nme0Bdqorp8iaQ1G3L8rqg8/17q9RLUriWOVxrhaNo87TpZJrT2s6jP\nnCZu7+FM3ZV3Nw9CnaounPclW9b+uhs5MDBjiX+9XrS/7sawZCH69d8pN2OoVDhfqI+9RWucL76U\nJUM3xBgowX88HsyffoIky1j6DyaoY1twOEiZPitTwVN6bO07AeANDMKweiXGWdPTrFdHHyOk0Uuo\nzp9TFojgKVO8xYqDy4Xpq8mYvppMSKP6BIwciqzVZfpYUkyM0nSuVpM8c17OB0+AafJ41OfPYfug\nq68JX86XD2v/wcQf/IvUgcOwvdtG2dhux/T5aKSYmLsf1GZDv2wxIS/VIfSluhgXzEX/gzKjvRwY\npLzBH9iHrdm7qC9eILhJY6SrV7PyaabL1rodsiRh/GYOcr58JM9ZgOPtd3BlR6b6h5z66F/otvyI\n7tq4OCk+Du2eX5SVkoT140+w9BuEHPhgt5Jklm+mCoeDwA87EvJqfaS4uLvuY/xyImFVKxDy5qsY\nvl2Op3ARUgcOJf7Pf0hetEK5izsPjnsVaQzyGMPiBWj//AP7629hnDML9bmzWPr0x/liA7+exxMZ\nhbNmHXS7duANCyNgyADcZcrhql4D1cULBDd7E/WF82j3/Y4jh7/lP0hUF86jOfY3zufrg9FI8uz5\nSJevEDi4L6Yvv0C3ZTPJX83M0IDx6+TQUOzvtMCbP79vnFVOUp88jumrL/EUeQRLj963rJeDQ7B9\n3MP32PDtcgLGj0FyOG6fN+zkSQImTMawdCGqhARlOpkGDbG164irdl3fZqkTp+Cs3wBHk2bI+SIw\nTZ2EeXC/LJkgO6O8JUriqvs8um1bUP99FHfFyqTkgv/Rw8BTthzxew8hJSQQMGoYhtkzwKAnbt8R\nJdXE2+/kdBFzll5PyqSvUJ84jhx+7aaK62lwnE5UCfG+Ad/avXtQxcZgf6cF9hatcD1b/aH40iwC\nqDxEiosjYNRQvOZA5NBQdGtX4WjQEOu9TouRDlv7juh27cD1bHV0mzcR9F4bElevJ6hzO9QXzpM6\ncBiON97OknPnOXY7pmlfYvryC2SNlvjf/0QOD8f9dEUA4mvWwjx0IMYFcwmtXxvLpwOVAawZyZuk\n1WZ4XrksJ8uY+/VGcjpJHf5ZhsaR2N9+B1wuHK+8piy4Nq+j58ky6Jcvga0/YZJl5Xbybj2xtW6H\nt2gxZdvUVDT/HsP9TCVkcyCOJs0AsAwahjcsHHvLnM/AbGvTAfWxf1BfupBm/kD9iqVo/vkby5AR\nOVi6vEuKi8P4zRwMs2egsqTiyV8AW9fumZs/MY9z1amHq0495YHbTcir9XE//iT6zRtxVa1O8oKl\nAKSO+hw5LExp6fUjWVaG2CYnSyQlXf+BpCQJm03i5Zfd3C1fcFYTY6DykOvTUVg/7Ipp2hTcj5Ui\n8cftSgLNe5BuXbrdhFUuhyohAUuvvpiHD8IbGoYqIR5rx/ex3HxbvgDcpk5lGd2mjZgH9UN99jTe\niPykDhqmjMm4zR1hui0/Yu7eBXXMFVxVniV5ytd4Sz5623Npd/2M5o+Dyi3W2Xh32d3oNnxPcLt3\ncdauS9KKtfd0feg2/0Bwy5taB6pVI7lVexyNXk87JYrDQXCLJmj3/Ubi9z/6JgC+HfXx//CUKJkz\nH54ej/JJcfO5nU5CX6yF6sIFEnbvxVuwULYXK6++l0pXrxLcpDGa4/8iORxK4PRxD2yt2t1xVgZ/\neRDrVEpOQr9mFZ4Sj2Ie2AdN9DFkvR5H/ZdJmT0/3dew3a4EPMnJEomJaYMhZZlEcjI3BUjX1ynL\n3O47H79vXweffaYXmciF+2fp1RdvgQLY2nXEXa4C7qfK3nPwlCEaDba2HTCPGoas1eJ+/Ek0x/7G\n/tobWEaMEcFTOtT/RmMe+Cm6HduQNRqsH3TF2rPPXf9nzhdeImHnb5j7fIJh3RrC6j5H6vDRSmLU\nm+tblgkYNgjN33/hrN8g49OjWCzodv2M55Giyj7+DCgsFsyD+iJrtaR+Nv6erw/n8/VJnjkP9d9H\ncTZqTGi9Gjj+/w3U7Sbo/Q7odu3A0aAh7qfunKBS88cBgt9shOONt0j9Ysodt8syt2tF1OlInrcI\nGSlHgqe8SIqLwzR9CsYZ05AcdmS9XpmLs2XbLA+cHjiyjHbPL0q+v++/Q2W3ceWtjuwb/wuF54/n\niTXjMHy/lmMvvM/KauO46IzwBUM3Bz9JSRIOR+Ze5waDTFCQTFiYTIkSMiEhMsHByrLg4Os/EBIi\nU6+eG8i5eSRFC1ReYrOBweC3wCUjdSldvUp4hceRTSZUiYk4q9cgadlqpcVDl/kBz3ldREQgV0+c\nxzR+LMbZXyO53Tjr1CN11OeZy4ciy+hXr8TctxeqpEQcz79IyrRZaQaIS7GxaPf+hvOVRhk6pObg\nfgI/7Ijm5AnlFCYTcQePKkklHQ5UsTHKANN7vL5Mo4cTMGk81m49sQwYck/HuJ3bteqZu3+Eceki\nnDVqkbTkW+V1cQdSagrBzd7C2vmjNJnKs5vxyy/Q7vud5AXLbqljKTEB1Gq/d5HcTV56L9X9tImg\nju2QrBZkrRbJ5SJh4xbclapkazlyS52mpMDFiyouXZKu/ai4eFHCfeYSNU4s5JUr31DMpbwPHOcx\n5tKe+bThIkqi0bIcZg4dqMx+YoigK1NYQVNAQqO5HvAoQU7awEcJfq4vu7H+xrK7vFRvS8yFJ9wX\n/bLFqBLi0e7aqQw8nvJ1pvID3Q85Xz4crzTCsGYV7ieeInn+ErR/HCDww44kz1mQY8kacyWvF+bN\nI6zPp6iuxuIpXkJJYPfSy5kPSiQJx1tNcVV7jsBuH6K+fBk54FomZKsVTCbkiIiMBU9uN6ZJ4zFN\nGIvk8WBr1Ra8XtRnz/oycmv37yXkjVew9PxUyT+F0u3lLVAgYx/qXi/avb8pA8e798rcc72JFBuL\nbutm9Js3IaUkK+OoIqre2ECWCRgyAOPSRbgqPK2M0UjnHVk2B5K4btONbs4cSrmh/eMg2t27UJ0/\nd2MMF6A6f46Q11/BXbYcyXMXipbdDJLi4pDDwkCScJergDciAscLLTHNmYHjpZezPXjKDl4vxMVJ\nvsDo4kUVly9LaYKlixdVWCxpryEjVoYzmO5MQoMHK0a+DWjFhvxtOV64JkHBUCdEJijIeS0IimS/\neRuq36ZS4dvhLHc2Y5Dnp5YAACAASURBVGadBSR/9gX6Rws/NJeoCKAedB4PAV98jnT1Kp7IKOSg\noLTjQLKYftliDGtW4XmkKEnLViEHh4DNhupqLOp/o0UAdRMpLg66d0dyu7H0G4T1g67pfrinx1u4\nCEkr1irH1unQ7vqZoHYtSZn8Fc7rg67vQnXyBEEfdfLlRkqZ8jWumrVv2U42GHC88hruSjfuEAvq\n2Bb133/hKR2J+5lKuJ6phPuZirifeOrWW5ZVKpJWr1fSWmQmAaEsK2OENBpwOAivXBbJavWtDmn4\nAixfBlVqAWCaPAHT11Nxl44kaenqjOfMuh48Wa0EdWyDs8ErGZov0p9SR45BDg6+pczegoXwPPII\n+g3rME6bcl8zCTws9Gu+JbBHF5KnzcbZ8FW8BQoS//ufBL+tvCay6saarORywZUrEhcvSly+rLQY\nXbqUthXp8mUJp/PO0UtoqEzx4l4KFZIpXFj5XSVlGy+t+ghzzCmcxUqS3KUbzjffonZQMMo7gf3O\nhWrWhcSPXyaw58cE79hIYP3dWIaOxN6yzUMR6IsuvDxAiotD89dhXNVrINmsfhv3lG5dejyENHwe\n9amTJP6PvbOOk6rq//j7zp3Ymg26QRrpBpGHblEJAQNBKRFQQVEwEBBQEDEeRSWUUAmRbqSRTunu\nWNie2Z268fvjsLM77C7biM+Pz+t1X1N37tw599xzPucbn+/ydRhu3kCtUBGtSFEMt24+it1IhKJ4\nY4ny79tOZJHHkrRWchBSeDh5mjRAiopELVue6L/2pT2I6Tp+v8wm6KORSAnxODs/h/2zyRmvjafr\nBEwch2nvHoyHDmKItyd95O+PUrU6npq1UWrXwVO5KlrZcpkeUE1bNmF9axDxIz7E1eNFAALHj0EL\nDcPdui3GE8ewDnkNyeXCPno8up8F63tvoxYrLkQy0ykKmxoMFy8Q1r4FUnQ0cdNn4e74bKaPkRuQ\nwsOFyGbEHWL/WIHniSdz/Tf/bWOpFBsjFnCIItIh3Z7FPnaC9xoa9+wmrGNr3M1aELtgyT9yjmm1\naXw83LqV5EpLJEbJydKdOxK6nvo9ZDDoFCigU6SITqFC2t1HQZIS3ytcWE8Z6uXxEPZkXeQrl3EM\nHEL88JFZiwfTNPx+nUPg6A9xt2qD7YeZmT9GFvFPuvAeEah/OeTzZzHcuJGq1SC7yFAMlC0Ow6VL\nGC+cI7hfbxKGDPXV6nG5MG9Yh/up9K0h/4swb1xP4OgPifvpF9Ry5XOvf6oqId06iaDp5i1x9umf\ntvaXqhL8yktY1q5CCwnFPmlK9uQmVBX5zGlMhw5gPLAf08H9yKdOICUrSurs1gPbt9NEcOq2LSg1\nanonOxD6V+YN6zDt3I7t+5kgy8hnzxD6VCsS3hkhClCnAuOhA4T1fgFu3kQH9Hz5iVmxFrVMuSz/\nHePhg4R0egrJ4yb21999tKRyHQ4Hfn8sRA8MTHFNjLt3Edq5A3pYHqI3bs/1Bcq/ZSyVbt8m4Luv\n8Z89k5gFS1Hq3y0Zpao+Afoh3Tth3ryR6BXrk/Z5ANB1uHBB4tIlAzZbAGfOuFK412Jj015cWCxJ\nZKhwYf3upnkfixQR5Ckz+R6Gq1e8bmLjvj1gNt83SzXDx715A91s8epGmVevxN26ba5mtz6KgXqE\nzENVCe7ZHeOJ46IcxrY9D6woo3zhHFJ0NErtuujWYNSq1VDLlcfRqw+up31X7Na338Bv4Tzifvzp\n/6UmlPHgAeTLl5AcCenvnA0EfPm5IE9t2vkEIUt37hDyyovYR49LivmQZdQSJXA3boLtm++zbw2T\nZdRKj6NWehxe6Cnei4/HdPQIprWr8Z89E7WAENwzXLpI6HPP4HymE44BgzBvWItl2RJv4DqAY9Cb\nKNVropYtR+Tx8/cdfJWatWHmTPT27ZEApWhRtNDsKa0rNWoRN2ceIc93IaTXC8QsXvHAXNGSI4Gg\nke+gFiuO69kuPlY7pUFD4j/+hKCPRgrNtSWr/ifVnTMKL3GaNQPJ4UAtXARDTHTSDsnIk/Hgfsyb\nN+Ju3OSBkCdFgX37ZFavNrJ2rZHLl5PLiCSFWFitghjVrOlLjIoU0e6SJpGNlpPesKBhQ7As+YPo\n7XvQihVHqVs//S9lEFrhIt7n5tUrCen9Ao7efbBPyrn6jjdvSuzeLXP0qIFu3R7pQOUo/i2rpuzC\nb+Y0rCNFMG5Cv9eIHz8px38j1bb0eAj7T33kmzeI+mt/upOvfOY0oW2aIeka0as3+ggF/n9B8tVe\nbvRP0/athHR9Gq1oMaI3bvfJxLMsnId1yGsAuP/TlLi5C0TcldstiMmD0IdyOkHXkRQP5sWLCPhp\nOoZrVzDYRDvokoSk6+iyjFLpcTwNG4mYqpq1hcZVOrNH/ryBJPQfiPHkCcw7d+B66hkRbJ1NmFet\nILhPT/SQEGJWrEctXyHbx8wIrIP64/f7fGL+WJHSsqzrWPu/gt+yxSQMeF3IheQSHtaxVD5+DP+f\npuO3aL4gTkWKkvDGMJwvvpxm/GfwS92wrF9LzJJVeBo1zpXzSkiALVuMrFljZMMGmagocW8FBop0\n+ypVNCpUsBAUlOAlS0FBuXIq94Vl3i/4/zZXaMiVeizXfkeKiiRwzEc4Br+VtLjXtEyNOboOFy9K\n7Nkjs2uXkV27ZB8yOnq0k48/9nvkwsspPKw3fU5CunOHPLUrY3A68dSpS8yytQ+0SKN53RqMJ46R\nkEoZDrgrSlimrHfiM69cTsirL6GWeozoDVt9XDf/k7grjulu2z7F5J/T/VMKDydP80ZI0VHELFuT\n6mrStHMHwS92wxBvRylWnLjfFmVcFyqr0HWRBXW3wr31jYFYFi1AUhQA1AIFcbdqI9yM8fGY9+/B\nePAAxuNHvfsAaHnyiFiqxHiquvW9MX6JMS/eNtU0/L/9GlfXblmKf0oNfr/NxfrWINTCRURcVbLs\nuNyCce8ewp5qhavjs8TNnJPic8luI7RNM4xnzxA3fRauZzrnynk8VGOpx4Nl9Qr8Zk7DvHsnAGrx\nEiQMfgvnCz3vmzhjPHqEsBaN8dRvKLItc9CcExEhsX69zNq1RrZsMeJ0imMXLKjRpo1Cu3YKsbES\nn35qoVAhjX79jDRrZuNBltczXLpI4MTx2CdNERmzui62Byyuazx0AOtbg7FN/ipNq5emwalTBnbt\nku+SJpnw8KTzDAnRqV9fpUEDhQYNVGrX1ihQ4FEMVI7hobrpcwnB3Tph2bIRLTiEqJ0H0AsUyLmD\nO50Ywm+hlSzl25Zut3hMR9sp4NOxBH45meg1G33qrgWOH0PA11/gatVGWEEeEmXs3ID/tKkEfTiC\n+HdGkPDu+z6f5Wj/TBb3ZB89HsfrQ3w/T7baM1w4R3Df3piO/Y1usRA/chSOAa9nrBRMJiFFRGB9\naxDmLZuI+/En3B06Evj+cEz79grS1LotSrUaqfcBhwPj0b8xHdqP8eB+TAcOIF+55P04dsZs3E93\nQrLbCGtUF0f/1wka/UGqbWo8sA/joQM4+wzI1qTp/+3XBI39SCj7r1jvJYW5Bl0nrFkj5DOniDp0\nwltvLDmSLLs60eu35Ip17GEZSw23bhLaqgly+C0A3E2b4+gzAHfL1hnqv/KxowR9/AEJg9/E06xF\nts/nwgWJNWuEa27fPhlNE32rfHmVdu0U2rZVqFlTw+2G0aMt/PSTGbNZx+MBXZfw99dp316he3cP\njRuruXELCqgq/tO+J/CzT5AcDmyffYHz1X659GPpw/+7bwga8yG6JOHo9xrxIz7CYwni778N7N4t\ns3u3kT17ZGJiku7VAgU0GjZUadBAbJUqaSmGjUdB5DmIh+Wmzy2Yly8lpO/L6JJEzMr1Oeq/ls+c\nJviVF5HPncX23TSCB/b1ruytgwdguH2buFm/3Dc13LRtC6Fdn8bZtbtvkVZVJeT5Lpi3bCJ++EgS\nho/MsfN+mGDauYOQLh3R8+RNNdA3J/tnwOTPCJw0IUXcE4jkAuvgAcQPfx9P85be981rV2MdNgRD\nxB3cDRth++8PaCVKZus8pMhIzJs24G7ZGj0sD9LtcPJWEVl30bsOoJYumyKgN1PHj4gQhOrAfpy9\n+4g2TUggX5mi2Cd8jvXdoSnbVNcJbdEY44ljRG/eKeKzsoHAsaMI+PYrPNVqELtkZa4LWvr9PAPr\ne8OIH/Fhmin3lmWLCe7XG2eXbti+n5Hj5/CPjaW6jnHvHrRChdBKlgJdJ6RTB5QqVXG+0jdbCQJZ\ngabB4cMG1q4V7rnTp0U/liSdunUFaWrXTqF06aTp7cIFiX79/Dl6VKZiRZXp050EBuqsXh3EzJka\nFy8KFlCkiMZzz3no3t1D2bI5Nz3KJ45jHTYY08EDaHnzYh8/ScSg/sPSAtrWnQS8OQTrjbPctJRk\nAD+ywtXG+3nJkomESViYHnss/fivRwQqB/E/TaDi4shXpSyS00n84KEkjEqlMn0WYV6xFOsbr2OI\nt6P7+YHHg7RsGXfq/Sdp8qhdl5g/VtxfpFPXRVrs5UtEHjqJnizCT4qKJKx1U+Qrl4n9ZQHu1u1y\n7PwfBhhuXCes5X+QYqKJXbxSVCS/BznVP41HDhHaumnKuCddx2/2TwSN/gApIYGEgUOIHzPe57tS\nRATWd97EsnoFWmAQ8eMn4nz+pYwPrrqOfOqkCABftwbjgX1Imkbc1Om4unYncNxoAr6ZQvyQoSR8\nlHN91AcJCRjPnkapXjPNNjVcv4Zpzy5cnZ/L/u/pugi+XbeamMWrct0FKtlt5KlaAT00lKj9R9Mk\nn+YVS8V9lAvab//UWGratIHQHl1wvNoP+2dfiDezKG4q3b6dJQu9ywV//SWzZo2RdeuM3LolCI+f\nn06TJirt2nlo1Uolf/6UU9rSpUaGDfPDbpd48UU348e7vENm/vxWbt+2sW+fgQULTCxdasJmE/+r\ndm2V7t09PPush9CsRjm4XEIU9+svkBQFZ5du2MdN9GbFPWjExcHevcIVt3u3kcOHDRg8LkYxlneZ\nhBGV7WVf5sLrE6jZIoTChTNPER4RqBzE/yyB0nVC2zTFdPgQSpmyRO86mGPHDRzzEQFTv0EPCMT2\n1beohYoQ2v1ZJF0n4aVeBMz4UbgvVm7I0I3oN/NHrCOHE//+KBLuUZ02Hj1CaIdW6GYLMes3C+vE\n/wJcLkKfbYfpwH5sEybh7PtaqrvlWP/UNAK+mYK7UWOvFVIKD8c6bDCWDevQQkOxTf4a99OdUv++\nrmNZOI+g99/FYItLP5bG6cT81zbM69di/nM98tUr4jAGA0rd+rhatcX1TCckj4ewJg2EcOGOfQ9E\nET9DberxEPTuUByvv5H1bFVFEfpmxYpn7fuZRNA7b+E/5ydi5y4QavXpQIqIyFH34oMaSw0XL+A/\nayYJg94UZEdRCHp3KK5uz6e6CMko5LNnCGvakIS33smQxTs2FjZuFFamjRuN2O1i3gwL02ndWrjm\nmjZV0tSBdTjgo48szJljJiBAZ/JkJ127Kj773NumDgesXWtk/nwTW7cKd6DFotO2rUKPHh6aNFEz\nrABg3LcH69DBGM+cRi1aDPvnX+Ju2Sb9L+Yg7tyR7rrjBGk6ftzg1a6SZZ1q1TSvO+4/1gMU/Xgw\npqNH0PIXwPbZF1kqpfSIQOUg/lcJlP8XkwiaOA5dloncfxQ9B4UYg4YPxbRjK3E//+pdWZs3rifk\npe7oqooWloeYDVsz7OqRbHHkqVYRPSRErJ7vGQEsC+cRPHgASqXHiV71J/9IKkoOI3Gyc3btju27\naWmulnOrf5pXr8T69hAMkZG4mzQT8gTJUorTguHaVfx/nEr86HHCynHPSt+8cT1+s3/CvG2LVwFc\nCwnF3bwF7lZtcTdv6S33gq4T0u1ZzFs3EzvrN9ztn8rx/5kaMtKm5jWrCOn1PFpwCHEzZuNp2jxb\nv2m4eQO/ubPExJxLbhH52FHyNG+Eq0Ur4ub9cd99LfN+wTryHWLmL0Fp0DBHfj9Xx1JNw7z5TxEU\nvnEDkq5j/2gsjiFv5dhPGPfvxfrOW8QPH5lmSaPr1yXWrhXxTH/9JaMo4lqWKKF5XXP16qVPYs6d\nk+jb158TJ2QqV1aZMcNBmTIpp7v7tenNmxK//25i4UIjZ84Ii2OBAhpdu4p4qUqVtNR/3G4n8NOx\n+M/4EUnXcbzaj/gPR2dchT8buHpVumtdEtu5c0mWUotFp3btpPilOnXUlEO9x4P/998S+PkEJJcL\nV4ensX82OdW4v7TwSAfqEdKFZdVyAOKHv58j5Ek+f1ZYfyQJ+7jPkNwun7gO3ZJUYkTSdfRMpI3o\n1mBc3Z/H/6fpIhvtHhFNV7fnSTh8EMv6tcjhN1GDHmxMQ07D79c5+M/5CaVyVWyTv87VOIOALz9H\nio8nfsSHYDQi2W0EfjgC/9/movv5ieryfQZkOEhfK1ac+E8+TTr+xPEYIiKwT/4KEBmVlrWrUcpX\nEISpdVs8deunqs1kXrkM89bNuJu3xN2uQ8784RyCu10H4r79EeuwIYQ83wX7uIk4+/TP8vGCPngP\ny8plKNVqiGzLXIBapSqe2nUxb/oTw+VLIh4oDWglS6FZg5FUJc19MgS3W2T0Jvbh+HhhRcyhPi3F\nROM3/1f8f5qOfOkiAJ469XD06Y/rqZwt5KzUqUf0ph0+7+k6nDxp8AaBHzmSNOFXr67Stq0gTZUq\naRn+y7//bmT4cD8SEiR69XIzdqwrS2LehQvrvPGGmyFD3Bw+bGD+fBNLlpiYOtXM1KlmqldX6dHD\nQ6dOHvIkkzrzn/kjAdN/QClbDtuUb3OMQN8LXYezZw0+hOn69aRxJihIyDU0bKhSv75KzZpq+p5l\nkwnHG0Nxt39KuMhXLcfR69VMEah/Eo8sUP8CGG5cJ0+96ihlyxOzcXu2M6fMK5YR/Nqr2MdOEBlK\n90A+dpTQZ9phcDpI6N0X9bHH0nRJpQX5zGnyPFkX95P/IXbxypQ7eDxIdpuPZtG/EcZDBwh9ui26\nvz/R67emq6uSrf7pdBLW7Akkp5PoTTuQz54leFA/5MuX8FSphu37GagVKmbt2ACKQujTbZHPn/UK\nWEqRkUhxsUKP6X6w28nzZF0MEXeI3rb7gbpmM9Omxr17COn9PIaICByv9MU+flKWVJKlyEgsyxbj\nfKVvrhJmy4LfsA4djO2b73F17X7/nR2OrJXhuAvj7l0EDxmAffR43B06kj+/FaVceQzh4WglSqIW\nL4FasiRa8RKoxUuiliiJVqJEhgLq5WNH8f95On6LFiA5HOh+fjg7dcX5ar8cUcBOgbsFtUGIWu7d\nK+KZ1qwxcuWKmPSNRp1GjQRpattWoWjRzE1PCQnw/vsWfvvNTFCQzpQpTp599v4ENrP3v8sF69cb\nWbDAxMaNMqoqYTLpdG56m6deDKB5KzCpTvxnTsPRp3+2a2smh6LA8eMGrztuzx6ZyMgkwpQ3b5I7\nrmFDlccf17InOK5pmHZsw/OfpoDIvsTluu/CAR5ZoB4hLbhc+M37BefLrxC96S+xOsyBnFeldh3U\nMmVRy6ecbA1XLhPyfBcMtjiYN4/4FsksCbqOFG/PkGlYLV8Bd+MmmLdvRT51MmXQrcnkJU+Gixcw\n3L79QMsr5ASkO3cIfrUnuN3Ezf4tV0XpAPDzI2bdZgw3biC5XIR27gAeDwlvvi1qWKUjMZEujEZi\nlq3BePyoWG4Cet68GYp7C/xqMvKN68QPG/5Qx7Up9eoTvW4LIS91x//nGcjnzxM3Y1bGawDehZ43\nb1JKuK5jPPY3StXqOX6+rmc642naPGMr8rvkSQoPx7JhrSjomgno+fJhuB2OnEwVXnm8CkaTCfni\nBdEvUoEWFoZavCT2zyZ71e5N27eiFS6CbjAISYtE7aYSJXH07ovzhZeSXL85DMOVy4Q1e5L9Hd5n\nij7UR9QyKEjn2Wc9tG2r0KKFQkgWy4aePm2gXz8/Tp2SqVZNZdo0h08WXk7BYoGOHRU6dlQID5dY\nvNjIqZ/28dWGLny6YSRD871Jly4WunV7i6p+abj4MgBdF5pW584Z2LNHWJf27pW9cWAARYtqdOni\n8coKlCuXcStdhmAweMkTuk7Q8Lcwb99K9NrNua9bl0U8IlAPMQK+mEjgV5ORnA4crw3O1rEMF85j\niIlGqVUHrUhRorfsSuHmMe7dQ0ivHhgiI7F/8ilBPXpAIrNXVYLefgPjyePE/rEiQyTK8Wp/zNu3\n4v/TtLSl/O12wjq0Al0jatfBTE9k/yTkC+eR7HYSRnyIp3mr3PshVcVw4zpacbHaVyuKUd8+Zjxq\n5arZCrRNAZMJpUatTH1FPnsG/+//K4QN33g7584ll6AVL0HMqvVYX+uDZf1aQtu1IO7XhVkmfgGf\nf0rAlEm5U3zYzw/NL3PujOCBfTDv2IYWlifN2B8A+fQpAsd9TMKQYSj16ovSOYdP+liFbTNmiye6\njhQVhXz1MoarV5AvXxbPr1xGvnoF49nTXgJvuHGdkO6dUKrXIOb35RhPHMdTpRp6QABKnXrogYGY\nDh0QVqziJbJlNUuOO3ck1q83UnbKf3nKFss384uwABOFCmn06uWmXTuFRo0y4FZKB/PnGxkxQrjs\n+vRxM3q0KzeSIFOgYEGdgQM90LUY1mYW6pWBuWfgxx/N/PijmcqVRRZfly5KqtmBLhdcuyZx+bKB\nixcNXL5s4PJl6e6jgfh4XzZUtqzqdcc1bKhSvPiD81aBWDxgtmTPqp7LeOTCe4hhOHOa0G7PEjd1\nOko2qq+b163BOqi/cDPt3J+myd1w7Sqh7VuS8NY7OF/t59uWuo71zdeRT50gdt7ijKXFKgp56lbD\nEB1N5N+nvArS98Jvzs/oZjOuHi9m9S/+YzDcuC50iTIYc5SV/hkwZRL+336N8/kXMZ4+Tez8P3K1\nOGdmYV6/BuugAdi+nvrAAseTI8v3vKoKyYXvvkYLDSVu5twsFeU2HjlEyLMd7lt82OkUXSR5eFFm\nYF6zCtO+PcSPGpvuvvLJE4S1a45ukInZsCWFbpIh/BYBkybg9+scJE1LsxRUptr1rrq1eeUygl/r\ng6t1Wzwt2+B8qRdSdJQIFP5qcqpf1fIXQC1RQrgEi5fEU6deUlxZOvIFiaKWa9YIUcsi+nXOU4Zb\npuJ8M/AIbTpA9eopxRezArsdRozwY+FCE8HBOl9+6aRjx8zFnGWpr2oafnNnoRUqnJSN6XKBxYLb\nDX/+aWTBAiPr1xtRVQlZ1qlcWaNMGQ2zWefqVUGQbtyQvBlxyREYqFOqlEbJkhqlSonA7/r1VQoU\neLCEKT0EjvkIPSiIhCFDfaztj7LwchD/EwTqruig35yfsb7zJraJU0SsRRaOE/D5BAKnfI7u54ft\n869wdX/BZxfpzh0Mt26iVq0m3kgWO5CiLRVFzASZyJozL18C/v64m7fKmPsxsT/+w4Jv94NpxzaU\nxytnyQWR2f5p+ms7IV06ohUqjKdGDcy7dhKzfN1DtyqTYqJFiZ5/4Lpl9563zPsF6ztvohUuQtRf\n+7OkqWTasY2QHp3BaPIWH3a7Yd06I7Nnm9i2TRBeSdLx8xM/YbHoWCxCW0i8Tv7cd793N7Sl0vXN\nfNb/JAkFH0tlv8RjiefFty/k8fGv4ij7OJfmbcKSJwA/j42Q6d8Q8P1/kRISUMpXIP6jsbhbt031\numWoXePjMS1fRuxT3XGrMtq1WxR//Tmu9RpOeKNncbvFXO9x6cK1ePMylpuXCQi/TOCdywTduYw1\n6jIhMVeQNUFG9lXowcyms3G5oPPe92l0YR6jG6zgrF9V3C5odW0WVw0lOZZQhm1XSwMSBoNOvXoq\nX2lvUH/v98R9PRXX8y9l+jqmhRMnhMvu7FmZmjWFy65kydzXLJLPnyVo2BuYd/2FUr4C4X/u4doN\nmUuXBCkSj5L3+b1WJAGd/Pl1ypXTKFkyiSyJTSdv3pwtVpwbkOw2wp6sh3zjOq7yldkz4Hv+Nteh\neXOVxx8PekSgcgr/dgIlhYcT2rUj8R+Nwd26HcYD+4RLJZOxT1JUJMGv9cG8ZRNqiVLE/vxLEklK\nREICeZ6sC6pK9NZdKdxn92tL4+5dWJYvJn7cxJwry5KQgPXtN/A0eAJnr1dz5pg5DMPFC+Rp1gi1\nZCmR4ZPJ65KZ/indvk2e/9RDio0lZtla1HLlkFyuFOrm/xji48VjWsI4Dwg5cc+bdu8ULqZqNbJ8\nDPPqlQS/+hJKUAiTOm7mq3VViYgQ90bNmirBwTouF7hcEk6neBSvwekUzz2e1MfqmhzEg4ljVM3w\n+XzDEIbwLb/xPNt5ktGMoSC3uUUhPvUfwyJrb4x+xhQEzmwWazhdNxIfr+J2c3eTvISomPM8vZ3f\n87LyM2HE0JHlrCRtd2F6MKBShBuU4hI2rBxBXIePGU0vZvMEO7lFYfISQQRJ4rw2UxhRZWoT2LQW\n5sdLYx3+ptAg23UwR+qD6jr8+quJ99+34HRKDBjg5qOPXFkON0yvr+o6REfDlQsawdP/S63l4zCp\nLrbleYZhlm85FF7UWzomOQICdC8pKlVKx2LRvRlz0dGiD1aoIFx8zz2nULDgw2VdSg02m4g1O3VK\n5vRpA1eO2uhxaCQvO6ajYuBLhhI1bBQTvgh+RKByCv9qAuXxENKlI+bdO7F/OAbHG0OzdBjj4YME\n93kZ+eoVXK3aYPtuWpqxRf7ffg2ahmPwmymIUJptebe0gnnnDhJeGyyUrtNZwhhuXEdyJNy3DIPh\n2lXCWjZGstlEYdy7AakPFTSNgC8molSslKV4l4z2TykmmrDG9ZHDb+Ho2h178rI4DwkCx47CsmQR\nsb8tynaplOwgp+95w5XLBH76CfaJX6Tpdr4XbrcQRLw98VdGnu3HNYrSPngHTzxfhJ49PZQvn7EA\nX1XFS6ruJVq+z1OSr3v3V+JdjF9RmyL2swAkyEH8UvgdZuUZSownMEMEzmwWhMps1rGYNFpra+kd\n/x3/SViHAZ1IhL6algAAIABJREFUU0FWFOrL6hL9sVkLY7EI3mKxJH5PfFe8l/x4Yh+Tyff5vfvc\n+9zithGyYRnGa5eRL57HePgQxmRB7wBaaCieJ5vgqVkbR/+BWVZpt9vhnXf8WLzYRGiozjffOGjb\nVs3SsRKRP7+VGzdsXL2aFHskrEdJr8vYDjOTPtTiEOEUYBDf8QddKFw40XqUnCyJ1/nypW5FUhTY\nvFlm/nwT69YZcbuFta5ZM0Gm2rZVcjJxL0uIjxfyCKdOJZGlU6cMPhIJiShWTKNbgc2MONcfNSwP\nzo0bKFUm9BGByin8mwlU4AfvCj2PylVQixTFPvnrDIkhJoffr3MIGvE2uN0kDB8p6mglI0ZSTDT+\nP3xHwjsj0o2juV9bSpGRhD7TFuOZ06kqjieH4cJ58jSqg7tVW+LmzLvvb5q2biakeye0AgWJ/nN7\nzhZKfgiQkf5p2r2T4J7dMcTGolmDiVn950PnsgMImDQBy5JFRG/c8UAUx5Nj2zaZ1auNGI0QFmZG\n01wpXGD+/r6urcTP7rW4+Pn53gqBH40g4MepxH03DddzPe57HhcuSPzyi4n5801ea9M3JSYx5Mp7\neEqXJXbFOp9yRtmCrmM8uB/J7cbTsFG6uyeKu+oABgOxcxfgaXV/ZepEAmc0QpEiViIibEK7ad6v\n+P+cTLupbv0k7absZn9mE1J0FKZtWwh+vR/IMnqQFUPEHbTQUCJPXwZJQj5xnIAfvsX5Qs8MJV0c\nPWqgXz9/LlwwULu2cNllNohaUeDUKQOHD8scPiwCt69eNXLlip6qFSmPfwKfBYzh1agvkHWVv2v3\n5OyACRSuHEbx4lq2iU50NCxZYmLhQhMHDwrLeUiIzjPPiFp8derkcFbdPXA6BVFKJEinT8ucOmXg\nypWUsVkFC2pUrCi2ChU0KlZUqVBBwytHmJCAIToKrWixRzFQOYl/K4Gy/D6f4EH9UcqUxXDrFpiM\nRO06lPEaRk4nQe8Px/+X2aKMx/czcLdo7bOL8cghgvv0Qr5yCdvnX6XrJkuvLQ03rhP6VGvka1fT\njdOyDnkN9xNPZiguwf+/XxH0ySjcDRsRu2h5jpjis4uAKZPA5STh3Q+yJSVx3zZ1uwmcNAH/b6YA\noAdZidp1AP1hFpVzux/oBHr7tsSoURYWL87ZPiHLSeQqwKLSQV3OtrzP+hCuxPgik0lkfJ07Z+DG\nDUGa/P11atRQadRIpUQJjcarPqLGui+IeqwGu8avwVrUSsWK2ZugDOG3yFO9Ikq16sSs35rqPlJM\ntNfabNq2Bf+fpuNq2x7rW4PQChUWi5IMlnvJb4/AMWoMfn8sTNJu6tJNaDflgmRDdpBYf9H26ec4\nX+2P4cZ15KtXvGTJ76fpWEe8Tdw333uTVYLeeQvdYkapWRulVm3Ux8qgIzFrlolRoyy4XBKDBrl5\n/31XukOQrsPFixKHDskcPixz6JCBo0dlHA7fC16kCBQvrqSIRap0Zzslxg3BeP4caomS2D7/Ck+z\nFrnRVACcOWNgwQIjv/9u8tb5K1NGo1s3D40aKVSpomV5TeR2w/nzSUQpkSxdvCilII758iUSpOSP\nKmGZSMZ+RKByEP9GAuWtD2cy42nYCMv6NRkiOMnhP20qQR+OwFO1OnE/zfUVH9N1/GbNJOijEUI3\naOhwUYIiHSKQkbaUz58ltGNbpMgIbD/MFBW/swtdJ7hvLywrlpLQf6CIs/oHYf5zHcEvdktZuDcL\nSKtN5dOnsL7eD9PRI+h3S6rELF+HUq9+dk49V2C4cF70rxzQJMsoNA3mzjXxyScW4uIkatZUGTXK\nRXCwjr9/ILduJXhdUcKNleSWuvfR5QKH4163Vxr7O3W+dA5kL/X4iT6ZOGOdafSnHzP4kxa0YgM9\ne3qYNMmVrWYLfrkHlrWriV6/JYXcRMCXnxPw9RSitu1OUXbJ/+svCBo/BnfjpsQuXCKs0vHxSKoi\ngv8Bw6WLGM+exlO7LnqevOS/fQWqVEEtUQrHK3e1mx5C4VspOoo8taqgBwYSte/v1GURVBX57Bm0\nggXFf1BV8pYrgcGedC+qIaH8ba7Lyjv1ORlUh66TqtG4a+pkMzxc4uBBYVlKJE0xMUnzrCzrVKyo\nUbOmSo0a4rFsWY0SJVLe/9Lt2+StXRncbhz9BxL/3ocPrLyVqsLWrTILF5pYvdqI05lUt+7e869Y\nUfMhkooCly5JnDwp3G6JhOn8eYO3JE4iQkN1KlRQfaxKFSpoqcotZBaPCFQO4t9GoKSoSMJaN0W+\nchn7Bx8TNH4Mnho1iVmzKXMTlKLg/+NUHK/28x1A7Has77yJ3+Lf0fLkIW7q9AxrFmW0LY1Hj4g0\nbkcCcXPnp7B8JYdki0M3W9KNS5DsNkLbtcB4+hRxU6enr8KcSzBcOE9Ym2ZITgcxK9dnWzU5RZtq\nGv4zfyTwk4+RnE7UQoWRb93EPuoTEZf2sMFuJ08joSUWs3J9rpIoVRVxKAcOyIwda+HECRl/f51O\nnTzUqqVhsei0bKlSsWLuZeGol64R2uxJ/OKj+IJhvMskgoINtG/voW1blYIFNS/hcjgk7tyRuHhR\n4upVAzev6bx/qjfz3F1YpHUBoFYtlUWLEjI/P3o8SPF2zOtWEzxkII4eL2L/5nvweLAsWYSeNy9S\ndDQBkz/D0bsPxjOnkew2pPh4JLsdKd6OfO4skkdBN5uQEhKQdB1Xy9bE/bYIuKs7N3E8MYuW4/lP\nU/LntxK9cgNKnboPlCxnFonnbR8zAcfATOjlORwYj/2N6dABbBsP4tx+kMeUcz67qMWK46hSm63P\nTGTXtZIcOiQI082bvvE5jz2WSDZUatbUqFpVTdWC43P/2+1eouQ352eUxyv/o3GfcXGwYYORQ4dk\nDh2SOXbM4GNBM5l0ChTQ8fPTvX393pi5oCDd63JLblUqWDD3Mv0eEagcxL+KQKkqIT06Y966mfhh\n72JZvQL59Cli1m5CqVn7/t/VNAK+/gJdlnG8MSzVXeTTpwju0xPjmdN46tQjbvostEzU0ctMW5p2\n7ySk27MgScQsXJaqqrh57WqsA/ti//TzDGk+yefOEtqmGZLiIXrVn6hVkjKQLlyQmDXLzMaNMsHB\nouhmwYJ6si3pdb58etbG//h4wtq3xHjyuI/pPztI3qaGmzewvjEQ89bNaHnz4ujRk8DvvsLVqg1x\ncxfkXHZjJqAoQmwvf3491eS6wLGjCPj2K+Lffo+E9z5I9RhuN9hsEjabeLTbk54nbnZ78tep75eQ\nkP6IazTqtGkj0bGjgzZtlBxLCLxwQWLuXDMLFhgJibjACjpSiVNcrtIGecFMPP7BnDwpgl5PnjTc\nfW7wKXUBIvD58TIOaugHOXXKwBkqEG/JwzedN9Cl8F/or/REL1gQFIXgfr2R4u13CU/83ed3SZDL\n5XNc3eKH/eOx+M/+CePpU7gbNyH292Wgqvj/8B1Bn4zy3T8gEC0wED0oCD3IKh4DA1Fq1hbWaISQ\nrmnPLlxPP4tWstS/ZiyVbHH4zZmFo3efTGeE6jrMmGFi9GgLigLD+9yiU7G9uHYcIvD4fkrd3kce\n9Q6hxGAjmILcYovcks3l+3LlmYFe0pRRl1P+/Fbu3IzGOrg/8rlzxKzd9FBpul2/Lt3tz6Jf//23\niN1KKzvUZNIpWlSjalWNxo0VmjcXgpsPUhbhEYHKQfxbbnqAwE8+JuC/XwrRuYZPEjTmQxw9X8H+\nxdfpfleKiSas6RNgNBK1bU+KIF7LwnlY3x2KlJBAwoBBxH80JtOxKpltS/OGtQT3egE9IJCYpat9\nCA+A4eoV8tSthlK1OjHrt2RIM8i8djUhL/dALVGK26u3sGZPAWbNMrF9uxh0AgJ03G5SmIx9ftcg\nSFTBgjqFCglyVaBASrJVoICe1ES6jnVgH/wWL8LRu0/aSuqZRPI2lU8cJ6x1E9yNm2D7aip6gQL4\n/TYXV7sOuVbm4l7YbLB/vyjbsHevzP79SXEboaEa+fLphIXpWK065dWT/HdbbaICivFWqyNEOQJ8\nCE8iKXK5sjZ6+vnpBAXpWK1iYrt5UxwrMFCnUSOFihVFEKnYR+f2bYmlS038/bdgxwEBOu3aKXTp\n4qFJEzXToXMuF6xZY2Tu3KT+FRqq07q1Qs3SUTwzryeVLm/gtKkybT0ruERS6R5J0ilZUqdiRVET\nrHqJSOpHrqXEoZVYtvyJwW7DFVaQcFsATyjbGMJ/eY9JjHtqOy3er0HZMhr5iuZFUhT0u4HQiSRH\nPN7dgoIwHjqA8bywlOj+/jh69sbdorU3ZkaKiMAQG+3dXw8ITEHGTdu2oBYrjla6TJrt8W8aS7OC\niAjo39+PHTtM+PmJseHaNclnLLEGabR4/BolGhSkZk2NJ9lO6UGdcbwxVCToIOI75XNn8dSq7RNP\ndT9tLfGdM8TOmicI9D+E2FjYvt3Ili0yW7cauXzZt59YLDplyyYFdJcuLbIQb940cOSIcGGePeu7\nOs2XT6NGDe2uNU64AHPCVZcWHhGoHMS/5aY37t1D2FOtUEqXIW7OfELbNr8bOH7w/pPnXQVaEBOw\nVqCgb1Co00nQB+/iP3cWmjVYqEM/9XSGzsnphKlTzRw+bGDcOBe1a2feNWL5YyHW1/vhfKUv9s++\nSPF5cK8XsKxZSfSajSi162bomOoH4yk0fSIrLF142iXcDQ0bKvTu7aFDBwWjEaKiJMLDxXb7tkR4\nuMH7WmwGbt+WUgR13os8eQSZet39FYPPv8PFQg2Y/9o68hc1+ZCtrAZY5jdrRJ657K2bJx87ilqu\nfJZTrTOLa9ckL1nau1fmxAmDT2Cnv7+eRhvp/ElLWrCJp1nGCpL6lMkkMtmsVp2QECHMFxIiiJDV\nKshOIjFKfJ2cCInPBb+/fl3igw8srF5twmTSGTzYzVtvue9b7SMiwsqMGS4WLzZx6ZKYAPLm1Xj6\naUGm6ta9f/B2orXp119N3jiWfPk0zGYRtJ44ocoofMHbvMk3xBjzMb39QkzNGlKp0t0MoYhLWNau\nwrxuDaZdfyGpYrJRS5TC3aIlhjt30B0O+uZfyv75l3nMcJldWn1iCaVlS4VB3W/wRGt/JD9LqpOv\n8fBBAseOwrxjGzqgh4QQvXU3WpGiaf+5VCCfPEFYsydEqZW1m9NcyDzsY6lkt2FZtgTncz3SXRzq\nuojXEQHeMtu3i76fPPvLYtGpUkW44hK30qX1lIbgxFTFu4NA8Ms9MG9Y573eIKQUlBq17pKqOqhF\nimL5cx2B48dwJ8Iucvf9/B64a9TjES7xRMJ06FDS/R8cLBYq1aoJ11ulSiolS+rpGshsNjhyRL4b\nCyZcnNeu+TZasWKCUCXGU1WvrhKcfg3qDOERgcpBPOw3vRe6jv8P3+Fu1oKArybjt/h3bF98g7Nn\n7zS/Ylm0gMDxY4hZtiZFkGgipIgIwpo3QsuXn7gZs++7wkyOTZtkRo704+JF0fHz5dNYtsxAuXKZ\nb0vTX9tF9ksqg4Np62ZCn3sGZ9fu2O6jbaRpsGWLzKxZJv5cJzFFH8rsgIHUfKEsL7/soWLFzBfO\n1HVxs6dGrpK/Lnt9OyscLYkgH7U4yE1SSklYrb5uQmHRSulGDA5Omp+k2BjytWyMEhRM9NpNgjRp\nGiE9OqOWfAz7+Ik5mtGmqkJBOTlhSq6tYrGIzLFixTROnJA5eVJcr2bNEq09OoGBOooC5Q4uoueq\nnhwo3I7hFZZyK1zmxg0DsbGpjy0FCyYpHScX+CtVSlj/7p2zFUW4UiZOtBAfL9GwocKkSS4qVEj/\nOife87oOBw8aWLzYxJIlRq+sQIkSGp07e+jcWfyvyEiJv/82sGSJkc2bjYSHp+4qDQjQqVRJxHNU\nqqTdfa5RfNUMgka+AwYD9lFjMURFYlm7GuPJE97vemrXwd2mPa62HYQEReIfVlV0g8zkyWb2fr6L\nw9bGFC+pc+yYmKUqVFDp189D164eL0k3XL5E4Kdj8VssFg+ulq1BB8vG9cQsW5MhSYMU/+2zcbhb\ntbnvIuZhH0sTs3XtH4/DMegNn8/CwyXvZJ4Y5B0dnbzTiamoShWNnj091K4tYnayfPsli6cyHjwg\nrIQXL6Tc788/uVPtwcU56bpYIGzZYmTrVpkdO4zeAsGyLMq2NG2q0qSJQs2aWo55E+/ckXwC7A8f\nNnjvx0SULZtEqGrUUKlSRctSWcRHBCoH8bDf9MajR1AqV/Wa1E1/bSe0Uwc8tWoTs3pj6nEvbjdB\nH7+P/8xpaNZg4n7+Jalq9V1IkZFeyQP57BnUYsUzVKTz+nWJDz+0sGqVCVnW6dvXQ7FiGqNHW5Bl\niSlTHHTrlrl6T8lhXrEUT6PGSVY1XSesUR3kK5eJPHQyhUZORITEvHkm5swxec3J1aqp9O7toVMn\njwhxSKc+VnZguHGdsJb/QYqJ5uS3KzlfpPFdi1ZKsnX7tpQi5uVe+PuLMgrFi2tUq6Yx7NxbBJQM\nwTh6OJLZhHTnDqFdn0YtVizbcU+JAdeJZOnAAd9q6nnzatStK+pc1asnFKa//NLiLTPSooXC8OEu\natXyJS2S3UbYE3UwREcRtW0P2mOlvZ/FxMCVK6KMxL1lJa5fl1DVlNfJ31+nRIkkciXLOmvWiOsd\nFqYxerSLHj2UDF/i1O55RYE//5SZM0e44xLdirKsp3JOOoUL69SpIwbxSpXEZFqiRCrWB6cT846t\n6LKR4AGvYIiJEUewWHA3aYa7TXvcrduipSM9Yd64npDnu7KCp3gtcC5vjrKwb5+RZcuMeDwSYWE6\nA567xbCE8eRbOF1oP1WvSfyosXgaN8G06y9Cn2mHs3NXbD/8lLGGSgtp3E8P7VjqdIKfH4ZbN/H/\ncSrhfd7m0MW8d8mS0F26V4SxZEmNypXVu+n1Mvnyafz4o5PGjbMnjHk/SFGRGA8fwnToAPLpk7hb\ntCZ4UH9hgcpFREf7uuWuXk1qi9KlNZo0UWjaVKVRIyXHrEDpQdeF9TtR4uHwYZkjR2RstqR+ZzT6\nZv7VqJEy8y81PCJQOYiH9qYHzCuXE9yvFwnD3vUGbgYNHYzfb3OJWbc5RVoyiEDj4D4vY9q/F6Vi\nJeJ+/iWFmnfguNH4/Tqb6D+3ZzhI3O2GH34wM2WKmYQEifr1FcaNc3mFzooW1Rg/3p/YWHjzTRcj\nR7ozPbebdmwjtPNTPpk+AH4zf8Q6crhXgFPXYc8emdmzTaxYIdRy/f11nn1WoXdvNzVrJk3o8qmT\nWN94DdvUGahl01Y1zxJ0ndCObTDt3Y1twiScfV9L9ytut1hthYdL3LplSOFGNF69RIurcxgePxod\nA2LlK5E3r0bNmmKQqFvFTvWKDvKUzpjqdSJu3pTYsyeJMB0/bvAhB2XLCqKUSJhKlxaWnwMHDEya\nZGHzZkGcmjRRePddF3Xrpm7tCRz9IQFTvyH+nREkvPt+hs/P4xEEPTW15UuXDMTFpW29uldxOVE3\nJzXrVViYlb174zl50sCJEyKY++RJmUuXUi+emojQUI1nn1UYNsxFofvxHY/Hq0UW+OF7BEz7nphF\ny9GKFiX4pe7I164RvXYjauWMl1mRoqMI7v8K5q2bOU0FupqWMvSHktSrp/LzzyZ+nQV7ospTkiuE\nB5Ti5uBRFB3WOYlg6zphTRognz9H5OFTWRbrNFy9QvDr/bCPnZAiceWfHEsluw3DxYvIly4gX0za\npPMXMN65xWcfRHDoVFCqMTj584t7K9ENV726xvnzEgMG+HP9uoHGjRWmTnX+I+VMcqNN3e4kt9yW\nLUYOH05yTYaG6jRurHitTCVKPDwlXDRN6EUlEqrEzL/kMZR+fklu1cSYqnvdqo8IVA7iYSZQUmQk\nIT27Yx89PknfR9dFvbtU0ldNO3cQ3LcXhog7ODt1wTbl21SzTPx+noH/jB+Im/WbiKdJB9u3y4wc\naeHMGbESGzHChcsl8f33Zh/fdY0acO2aRkSEgQ4dPHz7rTNzSS6aRuDYUTiff8lHSVuyxZGnWkU0\nawhThpxi1i/+XvdRuXIqvXp56NbNQ2hoykNaFv9O8Gt9sI/7DEf/1zNxMhmD6a/tmNesJP6Tz7Jt\n5TKvW4N18AAMsTHcnL2UvSGtOHs2gO3bPVw9EIl6PZy/SRIkLFEiaaCoVUukQiemu6uqUDXeu1dm\nzx6Zfftkn5Wl2axTvbp2lzAp1K2rkTev7+125IggThs2COLUuLHC8OFuGjRIexUunzopXMJFihG1\nfU+GrJrpQddh2TIjH3xg4c4dA4UKabRqJayciUVSr11LKboHwnqVSKgCA3XOnBET6D1JaoSF6ZQq\npeLxSFy4YPBm9NWvr1CunMb58wZ275bRdQmTSad5c5UuXTy0bq0QECD0zcxr12BZuwqcTmI2COFK\n4749WFavxNmzF2rpskgx0RhPnsiSGw1FEYkk3/+XWIJ5ibl0GFmRLkML43TChbemsecvnY/Ch+DG\nQq1aKv37u+nYUcFkSlqI2D6djLNP/8z/PmDaskko/xctRvSf23ziL3N7LJViY9ADg8BoRIqNIejD\nEV6iZLhzO8X+GhJXKME5yvISvxBOIYKCdJ9g5Zo1VYoWTSLZmgbffmvm00/N6Dq8+66bN990/2Oq\nDDnRproO584ZvBamHTtkb/82GnXq1lVp0kSlaVOF6tW1h1mBIgU8HjHOJY+nOnXKd2EYHKxTvbq4\n5n37eqha9VEx4RzDw0agpDt3kC9e8CFMSJK4s9My6eg6/t9/S+Ano0CSiB8zHkff13wmdNPOHXhq\n1RGBiLouzNrpTG63bkl8/LGFJUtMSJLO8897yJdP59dfTURGGvD313nhBQ8NG6rMn29i40Yjui5u\nSkWRqFBBZcECB0WKZO0ySpGR6CEhHD1pRhv4Ni3P/Ehn/mCFsRPt24ug8EaN1HR5i3z8GGrlKlk6\nhwcCRSFwwlgCvv0K3c8P+2df4HyhJ3C3f4bHEtKjM8adf7Fu9GY2RdXyDhjJXYKSJLIHjUaIjpa8\nIncggt3r1k1yyVWvrqZZ6uHoUQOff25m7VphRWnQQOG999w0apSO+0LXCen8FOa/thP7ywLcrdtl\nr10QgbwjRvixaZMoYjt0qJvXX3eniKH3eITJP6nivHAPXrggXidOGBaLTuXKEuXKeahUSYgVXrtm\nYPlyIzt3CqKYN69G9+4KPXu6KVMmqe9evy6xdKmRP/4wceIY1GcPXU1L6ea3nGK206IJJAmlXgNi\nFi5N9/6S4mIJ7v0i8SM+ypQAqmXRAgLfGoLB7SSSPHz+1iXeHilud12Hv/6SmTZN1DLTdYlChTRe\nfdVDr2cjKHDtMJ5GjbNF9hN1lNzNWhD72yJv7GK2x1JdR4qO8pIiPSzMqxGXWC4nautubCUf5/RR\nhZbP5Add54a5FKeUspxWy3KOpC2hQEnKVTVTubJwtVaurFGmjJbmMBoRITFkiB8bNxopVEjjhx+c\nPPFE7rnsMoKstmlkpMT27UlWpkQFfBCW5kQLU6NG6oPS4HxgSEiAY8eSrFSHD8ucPy/+//vvuxg/\n3vKIQOUUHiYCJR/9m5CXeyDZ7URv3eWTLWN9rQ96WBj2UZ/4DMyS3Yb1zUFYVixFLVCQuBlzUBo0\nTDqoqhLw+acEfPl5mplu9yIxQHfSJAt2u0SVKiJraM0aIwkJEqGhOq++6qZvX0GoEhEXZ+XLL90+\n2Ulms86oUS769vVkyqXnPneVwKc7skVvSqfIGVTiJCeozPmSTXGsXJE1c7qmCetd3eypdRsPHSBw\n3BhsU6elG7uSHgy3bmLt/wrm3TtRHitN3My5PnIO+fNbif/gYwInjBWuzV8WgkG4/vbskdm4UWbn\nTmOq9aFAkNkKFTQaNFCpVUtsjz2WSqwOIoB88mQzK1cK4lS3rsp777lo3DglSdV1Ud5h0yaZgwdl\njEYINcfTf99AAjUbC178g8BAnYAAoQ8lnotHsYmg64CA1BOL3G6R4TllihmnU6JpU4WJE5089pjv\nddc0QfRFTJXkJU+JMVa+gcAC5ctDtWpuEhIkn+rzTz6p8PLLHtq1U1JPckxIwLx1M+Z1q5FXr8Ec\nEyHexp91tGFz0FMYnm5L6xdDM1QnzLxuDcG9X8DR/3VRYDsjuFsKx3jkEMHPdEBOsLOUp1n74s+M\nnmzyacuLFyVmzjTz228m7HYJPz+drl099OvnoVKlzCdVeKFpBL/UDcuf633ctBkaS3Xdu0iUL56/\nx+V2EUNsjHdXV/OWnP16CcePGzD98gsl9i1ltGUCa65VR9MkSnGR6xRFk02UKycIUnKylJlU+F27\nZAYM8OPWLQPNmil8953TZ2z7p5DR+cnlgn37krLl/v47yS0XFqbTpIlCkyaCNBUr9s//rweN2FhR\nV+/xxzVKlnzkwssxPCwEyrx8CcFvDERKSCB+5Eei2O7dEViyxRHaphl6SAgxq/70WqKkO3cI7dQe\n45nTuBs8gW36LJ8JXbp9m+CBfTFv34JaohRxM2enq4y9e7fMe+9ZOHlSJjhYyOkfOiSjKBKFC2sM\nHOjmpZc8qa5aEtvS4YDly41MnGjxuvjy59d4/XU3zz/vIc99qjskCl6unu/gj5gW1OEAC0sOwzNu\nLF1/7IBlx1aitu/NUrHcoHeH4jfnZ+J+/hV3uw6Z/n4iAj8agf+074mdvzhb9adM27cSPOBVDBF3\ncD31DLavvkUP9o1ryn/yEHqzZrjzFmbGoN1sPV6QPXtkrlxJYkAmk061asIdV6eOSliYxpUrBg4e\nFCuwkyd9SyUEBye5MWrW1AgO1pg928yyZYI41a6tMny4i2bNfImTzQbbthnZtElm82ZjitRj7/ng\nxkPG05P8/HxJlabBtWvCamSxiMyfYsWEfpfDIbSjYmMloqIgIiJ10T6TSffJ5CtVSkPTYNE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MW27Hnu999lcnNlevVy8sEHtnPqxv3lKJWt0XXwmvM9AfnZFEbG4qpVB7VmrT90v/sPAtc9gUpI\nSLgbKAEaA36lBGojMDEpKWlj6XsKgZikpKTC8+3nn0ig0HX8nhqHfdCtONt3RD6Rgv/YxzBt2ojm\n44Okakh2G472HXH06IX3tE9Q0lJxdOhEwfwlFfdVUoL3N9MxL5iLcfcusXsvLxzde2IbNBhHt5s9\no+k1axTGjPHy+Hh5eemMHOngoYec582VKH/MpjW/4P3RB5g2bQTA2bAxqUPGMEu9jdTTZnr3dtG3\nvZ2SD6ZSElyVGfa7+PprI+MOPkw3VvFrYB8MA3vQ8qm2BEaYWbLEwOOPe2G1wqRJovJFkkTYesYM\nI3PnGrFYhGhhv35C86l1axXzSlH6rfv5k//TctR69f/Q32FauYyAEcPAaCJ/1vyKU56aRsDwOzCv\nXI5l1DhKnnvpir7Dd8pLGLduJvezb5izIdpDnHyMDt7osJA+vez43TsQAO+pHyJnnsZ2732oNWuf\n+/x0ODDs2YXu4+vRtzItXoR5xc9IuWdQT5+h+HgO3iVn8KeyDcQv4Xew6dHpdO2q0uKHCXh/NpX8\nlesEkdB1/Efeix4cghYagh4ahuZeQkLRw8S6fKnXpTrlZGZKPP+80BVTFJ2RI508/bT9mie8+r78\nAj7/9x6uevWxDbsHvztvJ9v38osQzobNJqpW16wRNhiHDpUNWmJjNTp3FmSqU6cLW2AUFcHSpYJI\nbdtWRsoMBmG6LMs6TueV5+3cxhyCyOdzhHimJOl4e8Mvri60c6xnRNt9FEUlVMjd8fUVVY+//WZg\n0yZR4WUw6HTrJqQeWrRQ8fWtULdyVe+lVqsgRBXJUGVS5H7tUqbQ/P11nnnGzsiRzr8sCnY+yCdP\n4P/EaJwtW2F55lkAAm/tj2njugrvU6NjUGvWRq1VC7V2HdRatXHVrC28Tv8rtbskXNcEKiEhoT4w\nLCkpaWJCQsKLlBGoJGBIUlLS7tL3pQGdk5KSjp5vXy6XqhsM/4CT4swZWLQI7ruv7Dldhy++gCee\nEKZkQUHCKCwkBB59FFavhi1bhFnsmDEwcSIVhkyJiWJ/M2cKYZsjR+CHH8Ry6JB4T0AA2R0HMXHv\nUKan3oSKAS8veOopGD+ei/saORwwaxa89Zb4PqCwTXcW1n6Kd/d2Y8/eiudJbCxUqQL794sboMEA\ni+LGcPOprzGUFIg3+frCzTdDv37sq9aHXvdEkJ4O994Ln35a1i8XFsK338LHH8OBUs/VRo1E09xr\nmInXFx/BkiXg78+5RXsuA4sWweDBEBoKycllo7zJk+GFF6BbN1i+/PJuUMuXi98py7hsLn74Xmfy\na0aOHhWdzgMPwMRH84lpFQVVq8LRoyLEsH8/bN0q1llZkJ1dtmzfDjExYjsiAm65BX78EQDXhEkY\n3hBaQnZMiEk2sVh8wgmsFUbVxuHUaBWOV7MG0KE02maziQO6hjdfTYPPPoP//U/osbRqJR43aXLN\nvrIiCgrgjTfgueeuijL6+ZCWBitWiOWXX8TlDKJpW7eGZs2genXRHkeOiOXwYcjIOPf+3MKYbgQG\nilOlRg2Ijhanvvv0z8mB1FQ4dgySksT1B2DCzhHqUI1UVtZ6mPDvPqBRc5NIhp89G+64A8aNg3ff\nPe/vKimBb76BDz4Q+wbo1EnclgYMuLRTx24Xp235U9q9fa518SXYv5lM4jIIDy9bl98+e+3n9+dV\nz10UWVkwf76474SFiRBaRARan34cfukHDh8Gc0YKIZkHCcpMwj/jML5pSXilHsZ4Oq3y/t55R/Ql\nAJ9/LnIm77vvOvrB/yr8IQL1LKAADqAbYALmA7fyL41ABd5xC6Y1q8ifvwRnh06ASCYObt9S3H1c\nLiRNw9arD8gKXkt/AsDedwDFz710zmRp849zCHjkgcoWJbqOkriP/E9+xGvRj0Q5TwKwVWrDNw+v\nY+LEyirO54KUnU1wt44oGafQZIXfat7OC0XjWZEp/PdMJp2OHcWURWqqxJw5Rk8uDQgzzoceErpP\nviYnxu1bMa1YhmnlMgzJx8ShShLWhs35Krs/n5/uj3er+kyfYa8gYKfrsHmzwvTpojTc5ZLw89MZ\n3WMfE3fdidS3ByXPvnBpNwpdRyoqrKS1BGBauhg9ONgzjWf6ZTkBw4agxcSSt3K9x3j5orBa8fvf\neLy//5bCiS/xbdRTIuKUrNNfWcoLVT8l6OFb8X3wdlBVfF96Dqm4CCXlOMbfdyJZSirtUvPzRw8N\npeCHH4Wfn6ri+8qLZFRtwjzDHSxfbuDwxhzMqoVswinGl7p1xdRs9+4uj6fdX4F9+0Shws6dQlfs\n2WftDB/uvLaDZV3He+qHqDXicPTtX+nla3XNO50i3yw5WebIEWGjk5iokJEhIdKtKv4JkiRMiWvX\nFgrZNWuWrWNjRen9vn0yq1YZWLXKwO+/l+WYhYZqREbq2O3CzqZ8/lGtWhqtW7s8Cd/2QycIuf9O\nGqp7SYlph++yb6BKhEgBaFIPXE7O7Em6KLnUNDH9Om2ayeOLWK2axogRDqpU0bHbvUlJsZeLDJVF\nisqbwJ4PRqNOaKiotnSvy2+LtbAcCg/Xry9CdAmQsrIwL/0J8+KFGDf/iqRpbBj2ET9VeYDDh2Uy\nD+az60TYOXXNysOHEupwhHgOE89hEkjiC+Uhdnq1x8tLZ1d+TYw46Rp/EpMJ2trXMTptAqf86nA6\noA6ZQfHkhNQhL6w2+Pnh5aVjNgtC6t42m0X002zWS58X22azeI/JJIi7u/rw74TrOgJVHmdFoP61\nOVDKkcOYf1qAZex4pJJiTwfu//hDeM35ATWmGs6WrTAvW4JkswkX9cmvVvbLslpFtmLpGavs24va\nqLHnZV2HdesUXn/dzK5dChIa7aXNPBv3Ha2HxuIaMwoA78+mImdmYhk1Fj24TNVSPp0BmkZxUDTr\n1xtoPGEQW3Lr8rp9HCepjr+/qJJq317F4cCjR2KziRLtbt0katSws3ev4sll8vXV6d/fxR13iCk4\nWS71DVuxHNMvyzFu3YykihyNG9hNfrVGzPzWQt04K2dn5Z4+LTFzppFvvjGSd9pBGjGYFSeWGvXQ\nFs3GEHEBhU6EOXPgfcNwtGmHZdxTODt3PecdWNm7m6CBfZBcTvKXrBRCh5cAJfkoAfcNx3AgkazY\nJtzOXI6kevOg/AWPe39JaEkqgPAp/Gw66DqhCdWRS0MVroS6OJu3xNWiFa5GjdEiqhCaUIPsQpHs\nbLEIxeQ1awysWWPw2BO44eenc8cdTp55xl4p7+jPRnExvPmmmc8/N6KqEoMGOZk82f6nGLLKJ08Q\n0qk1alQ0eRu2cbb2wB+55jVN5JYlJ8scOyYkGI4dk0lOljl58twaVlWqaFSrpmE2CxHQlBSpgmRE\nw4YiEb1rV5WWLdVKWmupqUJ/ad06hY0bDWRkVPzfJUknOlqnQwcXw4Y5admycv5V8j4LWX1H0c86\nl1zfGPT536E1bYrvlJfw+eAdCj/8BPsdd11yOxw+LPP550bmzDGed2rRYBCkpzwZchOh8qQoPFyQ\nooCAvxchuhRYj2dS8s1P+K9YSNTRX5ER5/9m2jKX25jD7ZxCaPv5+4v80Ph4jdq1NcxmHYPBizNn\n7NjtYLdL2GxCjsFuF8Fju13yvCbW0CB/M972fH6W+mK3w2Drt0zTR2LGUen40okiiYRSKhbPHm5g\nDZcnDhwZqdGwoVahYOB8bgfXA/4WBCohIeFW4DFEBGoqsBBRhZcB1AZe/cdW4ZWOgB3de5RVbDmd\nBDw4AjklWaiJ+/iAw4HfE6MwrV2Nkp2FGlmVkonPY799aKWydSX5KAH334OrTh3R+Za706gqLF5s\n4IMPTJ7KHoBWrVx88omN2NiKzRjcpT1yynHO7D8KPj5IhQXYVvxK1dHDWR15JwNzp5feFIUOT69e\nLpo0UcnOlvjlFwO//aZ4RsJ166r07i1Kz1u0KDNpPH5cRKXmzDF6KpeqVdMYMkQY/1avLo5Jys/D\ntGYVhi2beSHsI95+x4t2PrtYr3bA9uwkrA8/Xql53cKb5hde4K60t3ChcHfQT8Q8cBN33+2katWy\n3ysfT0YLjxCk0+kkqNdNGPfuFvtp1hzLuKdx3NyzrD0LCwlrVAfJaqXoucnYLlGywLR4Ef5jHkUu\nLuJ7/5GsLGrLo3xCC3Yio6H5+uFq2gzTrxsoeu0tbPc/BAhfMy0sHFfTZuiBFbNadR1yc/2ZN8/G\nmjVCbdid/G80CsVuVZUID9d48kkHd93l/MOzmVcDy5YZmDjRTHq6TPXqGm+8YaNr1z/BU6xcMpZx\n/VpcdeujV6lS6W0Xu+Z1XQjLuklScrLkIUspKXIFj0E3QkM14uL0ClGkmjU14uK0SiN0XRfaaG5F\n923bFBwOsU9fX50OHVSaN1c5dEjoMKWnl90LfHyEMnuLFiqhoToZGRIbNhjYt6/suq9RQ6NbNxfd\nuonqQHdgKeMUrOr+f4zNnoRTNlPy/v+ht2tDSMvGovBj2eUnk+flCYkGXYeaNb0wGi2EhWmEhekE\nBv7zCNH5kJcHSUkKR47InN6dRczWBbQ6MZ9Wjo0e0vQr7ZnLbawNHoRf3SgPWXIvkZGVI8VXq39y\n2VVcyamQdBT56FEMyUcxpRzF6+QRvLNSPe/LSOjIorErsNshbuscEnbNZVWH5zge1AS7HYwFZ8jR\nQ7E7ZBwOIX576JBcidT7+AjJk/Kkql497brIgf9bEKirgb8lgbJY8B/3GF4LfqyU+B1wxy2YNqzD\nMvoJLBMmAWBcs4rAEXdheWwMlsfGcHbpilRUiNcPM/F5fQpycRHW4fdR/PrbYDBgs8Hs2UamTjWR\nkiIDOiAsV95918ZNN52n07LZRJTkpJ1lx+rinPczTx17jDwCWU5PPo57k6Z9qxAXp3H8uMyKFQYO\nHxY3aFkWAno9e7ro2VNMD12oLTVNTMHNnm1k8WKDJ9mzXTsRlerb11Whg1mwwMDCx3/lXecoDgx5\nlg4fDkSSwO9/49FCw3D06IWrYWOQJBFpaNmYjMC61FX3U1QkoSiC8I0Y4aSrYzmBw+/AMnY8lqf+\n5/kOw97d+Lz3NubSqVJXg0aUPPEUjj79MW7aSODtA1Fr1hLRi4vNNTkc+Ez6H74zPseBgdNEEkUG\nBkTb65JE8WtvY79deBwa16/F2fHGioryFXfHhg0KK1YYWLvWUMGyJSFBJSBAJzFRJBpHRGiMGePg\n7rud10Qv6XKRliYxcaKZ5cuNGI06jz/uYOxYx7VMO/LAtPxnfD54m4K5i9D9ziHDXQ7u8zQ3F0/0\nqHwkKTlZ9khtlIe/fxlBiourOOX2Ryq6SkrENbJ2rYgslleJDw0VMgJuDaZGjc6tmXT6tMSaNQqr\nVhlYt85AcXFZdWCHDio33SQIVUCAzsd91/HC4bsJooCC+x/H6/ghzGtWkbv61woR7cvFX+7qcI3h\nJtaHD8scPiyTlCSmapOSZGw5JRQjzrtHmcpUHkdDIjGgHQca3EL+TQOIalmVOnW0y/LY+1Pa1GoV\nXoTHjoK3l0ek2Xfy8/h89D55K9fhatIMNI2wuKrosoJaqzZq7dqodRKwDbmTbO9q7N8vk5gok5io\nsH+/aCO3hhqIvqNWLc3jVegmV39GVLo8/iNQVxFXszHlU+kE3HMnxj27cLZsTeEHUzGtX4vtvgeF\nd1XGKYL6dEcPCaVwxndoMbEAQiPoLN0k5dBBvL+ahtecWUiWEnQfX4refh/74CEUFsKMGSY++6xM\n/E7XJUwmnbFjRUXbuTpUXYcD+3RS/+9nmqx8l0bW33iNCaylCy8EvEubolUouoqGxBZjJ75xDmUe\ng7F6h3DjjS569XLRvbt63hvAxdqyuBiWLDEwe7aRTZvEtIqPj07fvoJMtWsnpvh27pQZPtybnGy4\ne7iL157Pp2qjGkilmbFq1Sgc3XviuLkHXl9Px/zLctIXrOHHpCao737KM1lP4MTMDbUKWOzqhfGZ\nx1EG96t0PMqhg/i8/zbmhT8iaRqu+AQsY57EFZ+AWq8B7rkUqbCgYt6UxYL558UY1q3FuHARRkfF\nvCUd0GJisd/cC0f/gThbtak0jVQeViusXWtgyRIhZunOFwkM1Ln5Zonmza2cPCkzc6aJwkKJsDCN\n0fqPd3sAACAASURBVKMd3HOP808hJxeDywXTpgnzaYtFom1bF2+9Zb+gB9xVg6ri89ar+L77Frq3\nt5CjaF8xM0DTYMcOmY0bxbRnaqqRpCTdY3hdHt7eQoKhfE6SO7IUHv7n5JKdOCGxd69C3braJckh\nnA1RPSfI1OrVFasD3ZYfOZuP8UriLdTjELa6jfE6tFcMzt5+/4qP+59CoIQXo+QhR2ItoktnC4NK\nks5C76F0cazguQdOUrOegYbhGTQ69CPy4AFokVX/0LH81W0q5Z5B9w8Ao1EY149+FOXYUZTjx5Bs\nNgB0kwnb3fdiGTu+gherzSamesuTqsREpVI+XHi4m1SppVOB4rq7VnmS/xGoq4ir1ZiGHdsJuPcu\nlKxMrEOHYe/dF//xY1EyT2N5fKzwqgPM331DwLjHKXl6IpbxZ5lqOp2Yli/F+6vPPXIBanQM1nvv\nx3bncE5rEXz2mZEZM0wUFwvC5HKBpkl07+5iyhRbJS0nVYXt2xV++cmJ//zvGJH3HnU4iobE5rD+\nHB40jsy4VmzZYmDv6jx6WX5kKD/QCfH9mmLA1qkrrsGDcfTqc8HR/eW05YkTYopv9uwyDZzYWI3b\nbnMyZIgTkwmGDfNm/36Fjh1dfPVuBhG714hE9NUrkfPyAHHxSg4HzmbN0b18MG3eSG79tjxYd51H\ne8rHR+fWW52MGOE8p6igcuwIvpNfwPTLciSXC7V6DfLn/YRWvQZe07/A5/VXsN8mIll6WBhafiER\n8TGelOAcQtkdP5gWESkY2rfA9sBDlabjzkZxMaxaJUjTqlVlkbmYGI0+fVz06eOibl2VuXP9eest\n0dmHhmo89piDESOc11xjR1VFeX1hoURhoVRq4Eu5bffzwrfv4EGFkBCNF1+0M2SI608hGlJerjDL\nXrMKtVoNCmZ8h9qwESAGC4mJsohoLjRWMD42GqFGDZWaNXXi4iqSpcjI6zd340qRmiqxerWB1asN\nbNxYZjobrBQwQ72b/izG4R+CUbVzZl+S6DCvAH91Z3+5cLnEfchNjpKSRNTk6FG5kiyCwSDOlXax\nJxioziewmj/6vcOoVUsj/K3nMOzaSdH/fYoWW+2qHuN126aahnwqHeOvG/B95w2UEynoXl5Y73sQ\ny+NjKwUE3NB1OHlSIjFRITFR9ijWlxeoBTGQqVdPkCp3tKp+/crT4VeC/wjUVcTVaEzzrO/wHz8G\nXC5Knn0B5fhxvGfOKJ1QAzUyirwNW4SZr6ZhWvMLjpturpAgYP5xDr6Tn0fJOAWAo2NnrPc/iL17\nT/YnmZg+XZANh0MiMFBH13UKC2ViYzVeecVOz55lnZbVCuvXKyxbZuS35fkMzfuEx/mICLJxyGb2\nN7+LDS3G8GNifTZvVjxh1rg4jZ49RaSpddUUfBbPx7xgHsZ9ewDECH/6zPP6x11JW2oabNumMGuW\nkZ9+KjNgbdPGxYABLlavVli1ykjNmhrffWehVi0dXC4MO37DvHIZppXLMRw+5Nmfu80to58g5aGX\n+OEHI19/XZaH1bKlyrBhDvr1K5s6lE9nENy1A2qVKqi14zFu34rlyWewDR+B16dT8X9eTP8VTHmb\nWaGP8vFbTn49VhV/LJwIakT2yk1Ur3Hx31pQACtWCNK0dq3BY5URF6fRt6+YzrzhBo2MDIn5841M\nnSoqG4ODdR57zMF99zku6Qai62JayE1+CgokDxkS28K81/26WKhAjNxTQJeKoUOdPP+8ndDQP+f+\noCTuI/Deu1BOpuDo2k0o7weHcPSoUPpesMDA0aNiCOvvL5S++/RxUreuRtOmfuTlXYed0p8Am00U\nIqxebeCXXwykHId+LKYh+5jCc8zr/D5eT46keXP1kn3/3LhuO3uELMq6dQYOHRIk6cgRMWXrzj1z\nw2wWVZEJCcJiJj5eo1HgCeL3LsBn6QKMO38DwFW3npjih0sXQrsCXM9t6oHTides7/B55w2UU+no\nPr6UPPu8MEi/ROTnw/79ZVGqxERBaMtXJEqSEGwti1SJ9blyxy6E/wjUVcQfakxVFfPEn/wfWmAQ\nlrFP4v3lNJS0VE9HrgUGIRfkYxn9BCWTXiz7rK6jHD+GWrM2IMro/Uc9jH3IUKwjRnKQeixcaGDh\nwrKOICZGw9dXJylJwWgUnerYsQ58fEQS48qVBpYtEzkQEZYUnuBd7ucrfLBg8wpiY6MHmVI4mvVJ\nZfk3zZqpHtIUH3/u6QLl6BHM8+diXryQ/PlLhSWJzYbfpAnYBg/xiE/+0ROzpEQICs6ebWTjRnH3\n9vbWqVZNIylJlMF/9ZWVTp1EfpFhzy58Jz+PaeN6ADQ/P1zxCcgFBRiOHcV6592gKBQ/8BgrTtZn\n+nQTa9aUTR0O7ZHFA40206hgE16zv0fOz/OEpdVq1cndsQ+f1ybj/enHyFYLLhRu4Ud+VvozufNK\n7qm5HvP4hypUMp6NnByJ5csFadq4UfHcEOrWFe3eoIGG1Vrx5uGeWvL31xk6VKJtWwsu17mJTmVi\nJN5zti3HxSDLogoqIEDH318Y9opt8VxgoHg+IIBy2+JxaKhGyIULIK8qzPNm4//kaCSrlZInnubw\n0IksXCwEOt3J1F5eOjff7GLQIGF+XH5K+2/RKf1JSE6WePFFM7uWn+F2ZtGc3zlBDd4PfIHOXYV5\ndNeu55+2L4/rrV0dDiEgPG+ekRUrDBW8/Xx99QokKT5emHRXqybkI+STJzAv+Qnz4gUYd+4AQJdl\nnO07Yu83EHvvfugREdf8N1xvbXpB2Gx4zZyB73tvUzzpRexDh4nnNe2KvDwdDjhypPIU4NlT76Gh\nWmnCehmpql37/P6K/xGoq4grbUypIJ+Ah+7DtGYVrlp1cLZogffsH8qIk48PssWCLsvYht1LyTPP\nVvCm839oBOYlP3Fm10FxIbpcnDhkY8GqEBYsMHDwYFlH0KWLC4NBVJ45nRI33uji9ddtmM3iuWXL\nDBUiSQk17WzPqE6ANZMzvtX40DCOdwoeoAQ/TCaRVOpOAo+MvLImNi3/mcDhd1D86BjSRr1CUJBO\n5PefU5J+GrVGTdQaNdHi4tAiqlzR6Cw1VWLuXCOzZhlLE+QBxEjj1ZFJjM15Dq/58wBwdO6KYdsW\n9OAQcrfvQc7KJKjvzSin0gHIW7EWV9PmoOvYXvuIzF8OEpT0G7VdSRW+01atFrRuKaQEmrdAszvR\nHhlPaOoeTyVNiSGA4zOWUeXmRuc99sxMiaVLBWnavFnxkJm4OFHeq+vC2PfkyYpJliD86ISqw+W1\nmZ+fm9CUEZuzH59NjNzbAQFCgfq6r5hyOvF98Vl8Pv8U1S+ABYO+5K2kgWzfLkixwaDTpYvKoEFO\nevZ0nTda97fqlP4kzJ1r4MVRJWzRWqP6B9InYCNH08U8sSTpNG2qeRLRb7jh3Ea210O76jps3y6X\nFq0YPTlL1aqJ3K/69cXUbVSUjsmkYzSKKV2DAUyOIoJnfYnvsgWYdv8u9qcoONt3wt5vgCBN5/EX\nvVa4Htr0smGxiPxRg8FjhWV9ZBS2e+//w7vWdTh1SvKQKvf6xImKJ6TZLAiym1A1bKhRv75KQMB/\nBOqq4kob0/eVF/H58F2cLVsjZWZgOCkEK3VJVMNJuo7jxi4Uv/Qqav0GyMeTMRxOwtGjFwBe30zH\ntHY1Rx98mbm/x7NokZHduwVpMhqF83aVKhppaTI7dghyFBioccstLoxGnc2bDSQmurPsdEbVXkqz\nRnbSmvVh926Fqj/P4IzVl7nchk+AgW7dRJSpa1cX/hcuUjovNE3IE+zerbBnl4T+61Y2JFfjoK0m\nkqSTKDemvppY4TMOow8FYTWxRsWh1qiJXCcOc/0aGFrdcEkmqeKGqDB7toG18wp5wvYqjzEVMw5O\nxzRDe+0ljD1uxO+ZJ/Ce/gUF07/D0acfypHDBPXrgZSfR+Fn07H3H8SplQdpcndr8Vt8/SkOjuao\nqwYvn3mMjc425Eqh9Gibx/+qfUv9jV8Slr4PgKPUoiiqDk1OrUBCFwKg9z+E5akJnuhTaqrEkiUG\nFiwwlP6P4hoym4XcwMXE8UBEgapWFTf3yEiNoCCdKlVMGAz2SlGf8uTI3/+f7+Ig5eTgO3wY3js2\nk+JTn162+RzSEpAknfbtVQYOdNG3r/OSImF/y07pT8Dq1QoTR+TR1L6NTu/1olkzjfXL7CzfEMC2\nbYpH4yosTKNrV5Vu3Vx07uzyVCBeqF11XUwf2mxgtQo9I4tFqvDYZhMmujabhNVatrZaKz4+1/Pu\nSKzdzjkNrc+HOJLJJYQCgjBjI4sIfLCwhq7MlwezzDyQfGM4RqOOwVBGtso/Fote7jVB5ss/dr9+\nrs+7H5+9r4QEjRtv9CU39+97rho3/0rA8KFYRo/DOvqJa/Y9RUXlo/gir+rgQblC1FGSdD780Mbj\nj3v/R6CuFq74Zmqz4T/qIcyLFgCiu9QVBUlVcdWuQ8lLU3B07Y5p3Wq8vpyGafUv6AGBnNlziMwi\nXxYvNrBggZHffhM9n6LoNGig4e+vc/iwTHa2TDRpdGEtXVhLTZLJIoLTRHqWzUpH8kJrUc0nm40p\nNThFVWpzFB2Z8HCN7t1dDBwohC/PF848H3RdkII9exR27ZLZs0dhzx6FwsKKZakJCRrVq2vk50t4\nZZ3CP/MIkSXHqIVYanOUWhyr5Ml2r+k71kbeQXi4zuTMh1EDg1nT/WXCwnQiAy2EhkFIlJnwcJ3g\nYBFW9xo7Fv/vvyJFqsH/9FeZzRBMZok+fVyMbL+XGze+hnXUONRGjdE0SF24h0ZjeiM7bNwZsJi1\nBc3pzDoOUg9/CllPZ+wGX56/fR/e2ak0/e1Leuf/gB8lODGwlN5sa/ogA6d2pGZNHcfO/Xi9/hqh\nG4U0hU3x4Wv/R3nFMp40R2W9obNaFB8fiIjQqV5dpU4dnZgYjehonagosa5SRa9EhP7tnb3FIqam\nf55r56VVN3JIT+A+vqJuc28GDnQyYMDlR1H/7W16IRhuvBmfg78TTTpTRhxk5OJbKfrwY3Ja9WD9\nekNpTqKBrCwx4lcUnWbNNIKDdVwuA4WF6llkx010rn54U1EECVFVPOROlsX9Ijpap2pVYWjs5SW8\n/0wmSgczYml95Hse2zqCzxp/yE8xD+NySTTIWscRr4bkIBTBXa6y95d/LNblX7824Vt/f2jRokxV\nvmlT9brQUrocSPl56Caz0D602wka3B/bbXdgGzqMy+6YLgMul1Dy37RJYdcuhZQUmfHj7Qwf7vMf\ngbpauOSbqa7j/elU9MBAbHfeDQixvsDbBgiJAl1HCw6m5Kn/Ye8/CK95c/Ce8QVKynEALE1asbbe\nw7x9Ygjrt3ij61JpUpyoCjtxQkzn9GYp/fmJLqwlniMXPKQP5TGM0UTZcTI1MOIkFjFtFU8S9/EV\nOUoVbEFVUMOrIEdFYKpWhcDqAVSNgshIEemoWlUnL680srRHZtcusS5vzQJQu7bKDTdoNG0q1g0b\nqhWqwdxt6XAII9DsbGHpkJ0FlhM5yMnH8UpPxj/rOHNMd7GrqA452VDg8uUA9WnBTgDuYQZfcR/p\nRJFLCDtoQYZPbVT/QOoajrK4wXhW763K6dNy6ZRXaVVRsEa9ehqyrJOYaCA/X+JG1rGcnqiSgZdv\nXI65UwuKjuUwYW5bwhzp9GIZJfjyK6L0PYXqTGMkO2jBpzzCPAbzrOENZBlPwulLPMfzvIILBQMq\nFryZxoO8xXgKfKOJjBSl7/XrC8HDevVEG5+tMH0p+Dd29g6HsAxZMN/A0WXH2WtLAKBNfDZdb/Vn\n4CBXpWrTy8G/sU0vFV7ffUPBjmR6rnqGepnr+V65G4PmoGTi8yKCIEmllo1lFjM7d8qeaWqjUViA\nuEmLt7dYux+Xf97Lq/z63O/18RFr93t1HTZtUli82Mj69SIyL8s6nTurDB58ganb4mK8v5qGae1q\nCmYvAJMJOeMU/uMex/LgI+ctjLlU6Logcg7HuciVIHhu4iXeI5V7rTI5s1gk9u2T2bHD5PEfBBHZ\nuuEGoQ3WurVKq1aXlp92vcCwfRtBg/sh2Wyo1WtQ8uQz2AcPuaDMy/mgqiJdIi1NIj1dJj29bJ2W\nJnPqlFSpD3vmGTuvv27+j0BdLVzqzVTKyiKkQwvQNIre/T8c/QcB4D/yXsxLfxIVc7364jVvNl4/\nzkGyWtHMXhxsejsfuh7jy10tPR19RISGzQbOQhs9WU4xfvzCzQB8yzCG8R2F+LORThyO6YytbUdc\nCfWQDiZRd8VUehXPxRcL22jF+A6b6NLFxUMrh2CwFjF35FJOn5aJ3jyfR9beec7fYsdUIZJ1mHie\n5i3RHmRRk2QyAuIJjgukfn2hityhg0qNGhcu8b6SjknXoSi9kILj+aQb48jOlghat5jG66YSk/E7\nXq5zu4pmE8YxarGCHrzISwCEkY2MhorMGcLw9dWpVk1nmP9CnvltCPmhNZk1YRv93+1B7KnfmFPj\nCZ50vUVGus4n+sPM5xZW0p0H+JIPGIMXdl5mEs8zmbNzkl7keV7gZXIN4cg+JoIK04UeytC7sYwa\nK9zRrwL+LZ29qoqOceFCA0uWGMnPl3iPsTwsfcbUoWtp9XAj6ta9OrpS/5Y2/SNIT5cYMsQb/8O7\nWO49iDBrGrYBt1D0/tRKYr8lJeI6jo31vybVjaoKGzeKZPClS8sqdZs0EaRpwADXBcUYlcNJBNw3\nDMPhJHSjUdgzNW1+1Y/zWiA83J8DB4r57TeFrVsVtm9X2Lu3ovdh7dqqJ0LVqpXIs7ye8xnlzNP4\nvP82Xt/OQHI4cNWug+Xpidj7D/Ikm+u6qFouT4jKE6T0dJmMDKlSDqkbPj460dEish8ToxEVJdZ9\n+7qIi/svB+qq4aI303IlquZpnxAw6Rl0o5GcI6kiJGmx4DXnB7zmzca4fSsAhaE1mBP2MM8l389p\np9DD8PXVMVoKaK//yjo6U4If4WSRRRVW0p0erMRg0BlcZxdxUVayY5tSZFEo2JeO15H99HMtYBgz\nMeEkzxRBUo9HCZt0L4Fx5076kAryUQ4nYT2exend2eQfysKanIkhJ5NgR6aHPplwkig1pI3PXpxO\nGOL4lm+4h5FM4wtGAjCb2wknmywpkiJfEdFyhUUgR1XBWE0shIURHuGDzWbBZBJmw26DSpNJL12X\nmVOazefO25HTUj0Co8r+RHymfoBt6DAcBRYyf00h//cUlOPHCS88RnU9hfncwlBmATrvej/LOOtr\nWPCiKhkUEsRLPE8aMcRykkMk8BTv0AQhy/AsL/MqkwAxwg0ylvBW0SMMYyZnCGEYM1lOr/InA2VE\nSucVJpFNOHNCH2ZU8Lfcl/k6VYqS0WSFgluH4/y/95HkP3Yn+yd39rouBC4XLjSyaFHZtFBkpMaA\nAS4ejFlCo/mvUvjlN55z4mrgn9ymVw2aRv7JQoY+EkXqzhxWBd5Ko4JNuBo0ouDr7885QLia7erW\n8Zo7V0hSZGaW2UENHuzk1ltd1KlzcUJtXjQf/zGPIVlKsDz4CJbxE4SczN8E52rTkhLYtUth2zax\n/PabUkE5Pzxc8xCqNm2EjtIVBHiuKex2yPk9jaCP3qLa6m+QNZWTQQ35IvZF5tgHkJaunNMNAMQ0\nbWSk7iFHbqJUnjAFBZ2/KOa/JPKriAs1pmH37/g9+wyFH32KFlcLgJAb6qJknKLwzfewl1YVmF59\nlcD3X2dHRE+m5D3GT85eaCgEKMW0UTd58phasAMFjV78zHJ6YTDoPB/6EemRTdnv34aMDInc5EJe\n0yfQiH00JJEAyo6tsGodXGNGod55RyWjXRDijHv3KuzeLXKWdu9WOH68YsgoLEyjaVONG25QaXKD\ni2ZxZ4jwLvIIwDk27YR5C0lqchsHvZtx+rTMgx+3JDZ33wXbsRB/kqnJeN5mNd0AaM1WsojgODXP\n+RlFKSNZcXIKz9qeY6DlB26P28Zh36Y4HCKU7dYtKp8cGhysEVPVRXxUIQ7vQH75xcAttu95xWcK\nxvAAFg36nK1HqvDt0sq5SSnEMoE3mM8trKYby+jFAgbxI4OpzwG2S60ZrM8hlWr4+ur06CGELbt2\ndXHggMwXX5hYubJsJGwy6TgdGsHk0ZMVPMsUNtKRiSGfEB+vUb+WlVr1jSQkCH2ZiIhLHyH+0zp7\nXRfTP0Kio0xENSREjA4frL2K2rfWRw4vLTC4whLoC+Gf1qZXG1JODkF9u6PWrU/G1O944AFvNqzW\n+D5sNINzPkMLCaHw869xdryxwueuRrumpgoNtHnzDCQliRFWUJDOgAFOBg920aqVemnXjtOJ70uT\n8Jn2iXBx+GAq9gG3/KFj+ytwKW3qcglvRTeh2rpV8RBOENGYFi3KolTNmqlXRZDyfNB1yM6WKk2p\npadLnDolk5YmeQZLADU5xvNMZhgzUdD4XWnBZ9EvkpJwM9ExeiVyFBmp/yFC+B+Buoo4X2OaF8zD\nf/QjYLeje/twJjkdFAUpK4uA+4Yhnz7N7Jf3suAnL7b/nI/JWkA60bRlM11YRxfW0ortmHAC4MTA\ndlqzy689vwb0ZrWjIzk5Mk/wDk/yDt1YRapfPW6ob2PdjkBkNIqi4imqXp+04AYcC25Bcq2bUIwy\nsiwumtOnxQmaliaRmiqTlSVVIBk+PnoFz67atYUPk6KI6I8suxf9rMdicT+nKDqy6sRckI0pLxNj\nTibO1CxcaZnoGVmYs9MIyk0hOO843972I4eqdsbphFc+i6bIHMrT/fZht0vUPrWRjie+J81Uk5Om\nmpxU4sjWwhic+TF35X6EGQd7pCY8LH3KVq0Vl1vKDyChoSMuTiMOWvIb8STxApOpwQlOUZVu/MJB\nGlCTY+ynAVtpQwt24EcJm2iHDS92GNqQFNSKU7Et0cMjKkkA+PrqpKTIbN+usGcXfKI/TFu28lj9\nVQTVDAKLhcSUQFKOwwa9I5lUYQizcWEkMFC4rickqCQkaKXbIk/qWpmJ/tVITi4TuHT7Kvr6CoHL\nW25x0qmji4BP38P31ck4uveg8NvZ1+xY/iltes2g6wR164ThQCK5v+/HHhbFmDFezJtnZFLEp7yU\nOxpJ1yh5aYoQSyw9aa+0XQsKhCHx3LkGtmwRPaPZLHS8Bg8WA5fLMcmWT2cQ8MA9GLdvxRWfQOFX\nM1HjEy77uK4HXGlaxMmTkodQbd+ueMgoiPt5o0aaZ8qvVSv1ivzoCgqEcXhKilxhau3UKalC9Vt5\nmEyiyrg8IXITpNquQyTMmoLfkvnoikLu9j1XXdkd/loCdZ0FAq8BNA2f117G94N3PBM2ktWCzysv\nUjDxZTYmViX0TCMi0qxMuCefNGKBMN5jCg/zKV7YAVCRSKQhJw01KdZ88dGKqcshHil+m9rFe1gd\n1pEOHVzcUKzhdcTAyO6n2OVfm9RUIz2j9rAtM47iNC9Iu/KfYrFIpaWdV6vGPRiIv8DrOsr3GiYv\nGbNRo6o8Cge+bNpkwGzWaZ+/lV6nvzznJ+2Y2EIb1umdaaDvIzhUJz++BTVqaNSoIVy83cRO6EFJ\npR6AIEkSoFNSAjNnmkhOhipVNAbfqpKY2JIuv35ODe0EC5VbeaXx99SLA9+TKof3RTPDfg8PM41C\n/HkoZBY9XT8zqPAbbnKtgRwgB45Tg2209iy7aIoN7wq/24o3dkzsO2Ak74AZSTLh7w9NapzBP9OF\n3aARHyNjsajY823s2OHjqcB0w8dHqCDXrSsSz+vV02jfXkToruechvPh1CmJhQtFtemePeK3ms06\nffs6GTRIaAp5ewvDbP+HHsW89CfUqlFYxo7/i4/8Xw5JwnbPffiPH4PXzK/RnvofH31kIzxc55VP\nHmZvaAPm6oPxmzQBQ+I+kRd1mVFCux1WrzYwb56BlSsNngKNdu1c3HabkKQIDDzPh8uV0klOBzhd\npWsnxm1b8HtxEvKZHGwDb8F69wik4nKdZUkJkt0m5Ef+jhfVJUCSoHp1nerVXdx+uwuA3FxK86gM\nbNsmioR271b47DPxmbi4smm/1q1d1Kp1/ih5VpbEtGlGpk83ndPXrn59jagojZgYvdL0Wnj4hfJo\n62C9eQaO/eMxbt/qIU+GvbvBZsfVqvVVaJ2/Fv/oCJRUXETAvXdh2rCuwns0WSHVrx71XXuxWCRi\nOcEXjOQA9RmHqIL7gFHcynzyCcKMnWjS8cZWYT8FSjBHvRuyxdiJp20vl5b2ls+rEXALvOm6uNGc\nnShnMunExgrV3NhYjdhYEVnSdVEho6riHuNeyh5XfF1Vy6pHxGPxesXnyj+WzrlvdxWJrhsoLnbh\ncAg9FodDwuEQVSc2mwRWKzGOY4xgOiOYTgj5ODGQSwiBFHjIJ8Bi+tKfxQA8wOfcwnzG8zYHaABA\nAodIJRYLlU3hvLAyjQcx4WAvjZnCJLbTij4+ayjWfMSxAMvMA+hp/4mC6g1wfPcNxNcR50FeLoZd\nv2P8fQeGnTsw/L4DJS+37HxQDOREN2Jj10nsiu4jbFEKwJFn4VimPykpMjnZoOllAqC+lFCCiJsv\nZAD+FPEyz7GOzpX+/7Mhy6Iqyc9PlGiHhYkcgNBQHV9fIYIp1mXbPj7nfu5q9Rm6LrRXMjNl8vKg\nShUxsiwokEolOgxs3SrGW4oiqqQGDXLSq1dFHTLlyGEC7r0Tw5HDONp1oHDajGuu8PxfBOoSUFxM\naOMEdH9/cncmeqqkPvrIyOTJXtQPSGVT5CBMnVtR8soboOuEfzONQr9g7LfeDoBx00ZMy5ciucvN\nHE7OnHZyKkUlO90FLicmHAR6O1AbNsTrszeIidHx+u4bvD98l+J3PsTZoRMAwa2boJzOAIcDSSjN\nnhe6LFMy+VWsIx8htGEdtMBA8jaLCl/zwh8JeHAEurc3alQ0WnQsanQ0WnQMWnSMeC4mFjUqulKy\n/F+Ba3WuWq2we7dSIUpVngyFhWm0bFk27de4scbp0xJTp5r4/nsjNptEeLjGyJFOWrRQiYoSMlTI\n+wAAIABJREFUidrnMrH/owjs3xPT1s3kbtqBWudCA/hLw38RqGsA+XgywT27IpfrKN0o0nywFdqp\nQSIHaMQpounEBhqw30OgVtGN0XxENKewYeagVJ+9eiP20YhEGrKPRpxSo6C4LHIiULmtHQ4JTRNs\nvUoVvbRzEnlLN9wgpnuut6RAcJ+YVk8IecsWhS1bhBp3ZqbETWzmTZ6mGbtwSCbWNhtH1v1PENc8\nCF3V4NRpDCeSMaamEOYbwezGFhwOaDpjFw1WLyd7wqucDrahWuw881J9ZHQKfSLJDogjy68mGd5x\n7C2pxYa0WjR07OMG9jCEOaQbqjGp3nwidS8kSaNDB5V+/Zy0UkdhnR2M45U3KC+uogeH4OzaDWfX\nbqVP6MgpxwWh+n0Hxt93EL5vL926ueh0swOAoF5d0aJiKFzyDYbt2/B+9RVm3fYDXy8KZ906hRL8\nMJt1urS30OCkldpH19KVtaRVb8Oq1v9jR1gPCosk8vMlMjMlcnJkCgvBapWx2UTiaEmJTGbmlf8/\nklSeWFUmWO61ySTEP10uQYCtVigpEf54+fmQmytz5ozkIaJlcJ/UYmAQE6PRrp2L3r2FZU10dMXc\nBbd9kVxchOXhxyl57qVrqgvzHy4Dfn7Yb79DGJuvXI6jd18AHn/cSViYzrhxMcSd3MgnHZ3c5P7M\nU0/h1aadh0AZ9u7B57OPK+w2pnSpACs4TDoFMaXnj8uFZLWKkVcptOo10IOCwGBEL1W5FmsjuluB\nUpIwbt5IyYTnsN9xFwCWR0aBuUw/RAsJxd6zD/KpdJT0VAzHjp63CZyt2pC/ZKX4Lb/vwPjrBhx9\n+3vst1DVv62Crbc3tG2r0ratIKOqCocOyR4ytXWr8FJdtkxcj4qilw6uBXGaMMHOiBFOvL0v9C1X\nByXPvohz3WoPeZKPJyNZraj1G1z7L7/K+EdGoAr+71MCRj+KRMWvcyFhKPfcDIYzgq8B2EAH2rCN\nAAqx4U0oOXRmHYk05Ci1Uc/DNX19BSGKiNA85CgiouxxRIR4LiTk7+MKr+tw9KhMYqIvK1Y42bpV\n4dSpsoMPCNBp19rB17uaEJFzCMstQ7BOnHRZpf5SYQG6r5/IQyvIx/flF1FSjqOcOI6clnreUamG\nxE2sovmT7XlqdBH+L0/C+ujoP17VZbeLcI7JBDYbwV3aocXEUjB3EX4TnsT7q8/RTSYcN/cip25b\nfspswwcbWpJ0QhC1flW28prfFBocE6KczhuaYhn3FI6evStMh7hHS3Y7HD4ss3evzIEDMocOyRw7\npnDqlMTZJNzXV3jTCYsWUfWoKIIIuT3zSkqE+rPDcXnKzedGWRTVaNRxOql0TCBuwlFROtVjnDyZ\n/zwDD76J0+TD7sc/Rr7zVqKi/lhy6KXivwjUpUE5eICQG9vg6HKT0E4qhxUrFEaO9MbphA8+sHH7\n7S7Ct60nT/HG1aIVmZkSv8w8w7b5WSQe8caJEYO3kRu7SfQaINGqvYxsNnosP670ZqccPIBy7CiO\nvv2v7EdaLCgZ6cjp6YJUpaV61mr1OIrfeg8An/ffxvfVyRR8PxdHtx4AhDSpB5qGFh2NFhWDGh2D\nFh2NGh3rWethYX+oCOKvPFdXrlR4+21TOWeFsutcloXwc5s2Kr17u2jbVv3T+quA+4djWrII+8Bb\nsDw1EbV2ncv6/H9J5FcRemx9wu1pF01XziSCKTzL/zEagGjSyCUEKz6ASCwOC3PrTehUqVKREEVE\niOqra1n9cCXQNKH2XFwsUVIi1ufbFlEIse3+THGxEDLLySm7ekJDxYXVo34KN/rtIOLBvigKGLZt\nBW8vXI2bXLXjX79e4Y1XZM7sOUW8fJQhLY/QL3oHoYu/B6cYwTaMyeVAWjCPdtnL1P9n77zDo6ja\nNv6b2ZreIfReQpMmKtJREJWu+AoqCooVxdeOvYu9oaKCgq+I9IBU6U1Aeo8gvQRC+qbs7syc74+T\n3U1IAknYQPTjvq69ZnZ2dvfs2TNn7vOU+1l+FbkDbiPzmwl+a4MXLpe8Ieg64Td1xbJ9W4GXhcVC\neq3mbFSuYeqRa1ntuoYAsvk4+h26Js9AEQItrgnZo56Wmigm0wUv9uxsmYGzcaOJnTtV/vrLxNGj\nCmlppZ/NwsIMIiOlm9BTO88jdGix+BbbHotUdrbcahp07qzTr59bKra7pI7QsWNq3kPW/Tt2TMFx\nJJWPE4fQg985QD36M4tdyLqCHoJVs6ZBjRo+97THVV2lin8I1hUCVXKE9+6JZcMfJG/YhlGnYDbt\nhg0m7rorgPR0hTvvdPPYYxa2b89h2jQpcmkYCiaToFs3qdfUs6fmXxVtp5PIdlehpqWSvHEHovKF\nqgGUHeqJ45h378Tdph0iKgoMg7CBvTEdO4p68gSKphX5PmG1YlStRsZ3P6Jd1QoA2y//w6hdB/d1\n11/wey/1WBUC1q0z8dlnVlaskBdbq1Y6Tzzh4tprNTZv9rn9tm41eWPXPNIjAwa4admy6KL0/oJ1\n6WIC330Ly45tCFXFOehOsp56DqNW7RK9/wqB8hNqVzXj0AILkCcdlRQi2U0TVtORVXRih9qKDGs0\nNpsgMFC6OmQmluEtymq3S20jj86R3e7TP7LbfdpHJX29OJ0kTaNIQlNw33fsQudmZ1/cSLfbZSxO\nu3Y6PXpYaNYsi4YNDRRhEHlNS9SkM6Rs2IZROfaivudcbN6s8s47Nlavlhd5v35unnvOSb16grAB\nt2JdswpXl25YVyzj5DvfMCB+OEc3nGFElTmc6TqQXFsYikKRDyjquDjv+apa8JgqdAbNvY+We6eS\nFNmAg7W7UDVxG1VOb8es+1wT6Wo4bxovMo9beEl9lzuMnzFjkFa5Ae6338Td6w52784iMVEhMVEl\nMVG6+PLv5yevRcFqlcRDqiAXdrtVqyZV05s0MWjcWLqI69c3yiWeIeSBe7HHzyT1+p6semACB1Mi\nCxCsY8fk7yrKKmYyybZKYuWJAyxIsEriUblCoEoO2/RfCX3kAbIfG0XWK28Uev2PP0w8+KCdxMSC\nY7BVK51Bg9z06aMRE1N+07h1ySLIdZbdAuUP6Dpq0hnUE8fzrFfHUU8e927VEydIj5+PXq8BZGcT\nUzsWV6eupE+PB8A+/lsCJo7HqJrPelW9Bq7uPYhuXPuSjFUh4PffTXz6qY1Nm+RF1LGjxuOPu+jU\nqWjpiNxcWad09mxzgcLNdeoY9O/vZsAAjYYN/SN+W1SDrfN/I2jMW5j37UWYzeQOGUr2k09jVK12\n3rdeIVB+wt2DVeYtCcGEKCKUW0JH5bhak0NKPX5R7uRbTWo/VSaRLIJwUMbKvCWA2ewjWIpCntvl\n4giPJ+4lOJi8bcF9TxyMZ7+o1+UxGU+TP2QlJtRKyrrN6M2kRcEWPxNycnDe/h+/xQrs26fy7rtW\nr2++e3eN0aOdNG/uu1DV48ew/RaP8+beRLa7Cu2qlpyes4JnnrEzZcqli7ExofEzQ7iDqSynC7cw\nDx0TLdnGNWygHRu5hg18xFOM4yEAVtOB5uwggByG8DPzuYUokjlFLBoFa8EEBQlvOZ7KlX37cuuz\nguZf9aelwb59JvbtU0lIkK7AfftUkpML3gBNJimB4SFUjRvLR926xkWFKaknT2CbPpWcx54o1rXh\ndPosWB5iJbdy/9ybtQdm84UtWCbTFQJVKjidRLVsDMCW+AR2/hXIrl0qO3dKi2f+/yJPVxiQ1Rbu\nucfN0KHuMqXIFwf15AmCXn0Rx/sfewt5/6OQm4tt7mxEeDiuG28CIOCzjwj88jPU9LQCpxrh4ahv\nv03SgMHlFmulaTBnjpnPPrOyd6/8jptucvP44y7ati05+XE688ovzbKwaJHZuzBv2lSnf3+N/v3d\n1KhRDrdzXccWP5PA99/BfPBvhM1GztBhZI/8b7EWySsEyo+IsYOzRy9s69cCkKqEM048QBYh3oK4\n9fibqpxifLUXSRj8Mi1b6vT6YQgRS2aze8kBHMGV0ZPTiZ3yJRnRdUmPrktaVB3SbLG43J5YEyUv\nGy3/vtw6neB0Ft73vO5yySC/4GDySEx+ouM7du7+uQTJIwXgdxiGzG55700Mh4OUDdsQIaF+/Yqj\nRxXef9/GtGlmhFBo107jpZdcXHttXuyTECipKYjIqALvC73nTmwL55G6cBla67YcPSqtbkJQ6JH3\nMcU+PEGUJTnX+5luN9d9PpQaG+NJbNqFlU9PR7ME5DtHQRgCgcxwbPP+PZhPHGUgMziQFUsvFvIb\nvREoZEbV4uzVN0LzptivboK1dRwitLhc79IhKUkpQKgkwTJ5V5UeWCxSasFDqho1MoiLO0/5CJeL\noNdfwtlnANo11/qlrbm5UiIhP6k6etRHtvKLCOaHogjCwiAyUiEkRCcsTBAe7nuEhVHguTwmtyEh\n/9qs90Jwu2W83c6dKrt2mej424vcdfJDhvA/JjPEe16VKgbNmhk0b65zww0aN90UxMaNDn74wcov\nv1jIyFAwmwW9e2sMG+YuuQhmMbCsWkHog/ehJifjeOMdch56zA+/tuJAcWTKWKwTx7Bs30bAl5+h\nZmbgbtYCx3sf+TWN3+mEqVMtfPGFlcOHVVRV0L+/tDjFxV2c1SgrCxYtkvIly5aZvIWWr75aZ8CA\ncrJKahq26b8S9OF7mI4eQQQGyvqNIx4pdOoVAuVHeDrTGj+T0McfltkfwImm3Xmz6lhmbW/AmTMq\nAWRjwU0G8ob1LGPoEbCa8X1n0qatQZeA9bR5tGuBzxaBQei1aqPXrlPoYdSu84+akU0H9qMkJ6M6\nMlAyM1Ey8raZGViX/Y5l21awWMgeNoLsZ5732439zBmFTz6xMmmSBbdboUkTnRdfdHLDDQUn44DP\nPyHgu69JnzITvWkz73HLimWED+pH7u3/IXPst35pU6nhchF6/1BsC+fh6tKN9ElTilSSPxfbt6tM\nG7WNO3a/RCdWY8IolOig16iJFtcEPa4p7rbtcPXsVcynlR5CSLFWH6FS2bfPREKCWqjMQtWqBl27\nanTtqtOpk0Z4uDxu3rKJ8FtuxN2xM+lTZ/utbedDbq60YOUnWMeOSYG/9HSFjAwTKSkiT0akZDCZ\nJJnykKywMBkr5iFYvucUIF7h4XKxU1EvdYcDdu82sWuX6rUs7dunFnD11uMA74S+y9qrRxLWPo5m\nzXSaNTMK3QTz35gcDpgxw8KECRavZaNZM53hw90MGFDK7C3DIOCLTwh6900wmXC8+R65991fcTvV\nT1BOnyb6w7dgokxcyh10J463xyDCwsv8mQ4H/PSTha+/tpKYqGK1Cu68082jj7ouqkB3cUhNhXnz\npIDumjUmhJBxcR07SjJ1880aof5ca7tc2Cf/ROAnH5D1yhvejND8GZNXCJQfUUAHKjmZ0BH3Yl29\nEgBhNpM9chSH//M0KzeFsmiRmdWrTaSmFl7hhpBBJ9sGOlffT+vwv6mv/E2lzIPYjh9CzSpYEFcE\nBnH20ElQFEwJ+wgYPw5nv4G423eQJ2hamapTnwvFkYl67BhKZiZqZnoe4fGQnwz5eh4RMiIicHz8\nBSC1UkJGPUbmux/gvPMuACK6tMe8Z1ex35U74DbsH75PUnD0RbcbpMrtV19ZGTfOSna2Qu3aBs89\n56R/f61IK1rAuLEEfPs1afOXFIy3MgwiOlyN6egRkrfuRcTE+KV9pYbLReiwu7AtXoiz+41k/DiZ\nksgrR0eH8PXXObz/ukHaGRfXVfqbF3uu5/ppzyKCg0HXUFNT5Vd07kr6NBlXYZs1HeuSxWSPetov\n2in5YRhw/LjiJVQ7dqisWmUmNdWXodO6pUbnrpJUXZe6AL1DhwqhqwMFMxvT0iSpSk1VSE8/97ni\nfZ6WJl/zPC9OabkomM2FLVznWr/yvy6Jmoxbk9UAClYPOLeSQElx5oySR5RMXuvSwYMF481sNkFc\nnLQqNW0qt02aGCX664q6MQkh46S+/97CggVmdF0hIkIweLCbe+91UavW+ad4JT2NkJEPYVs4H71q\nNTK+n4jWtl3Jf/Q/HDExIaTOW0LwC0+jZDlIXbm+RPPGuUhNhe+/t/L991ZSUxWCggRDh7p56CEX\nsbGX5p6emKgQHy8tU1u2+IR1u3fXGDBA48YbNf/JIuTmejNflJRkIm7sTPYjj5M7fMQVAuVPFOpM\nIbD9OpmQZ59EyZVCmHpsFTK+n4TW7hqEgP37VVauNLFypWTVvkDswpFUNWvodGt2is419tM69G9q\n639jNtxkvfgqALZpUwh9dASZYz6Wqypk5ot6+BBGfotVdAxKVpYkPpkZeaQok+xHRnonlPDuHVF0\nndQV6+Rn54nGlQR69RqkbNkNgGX5UoLefp3sx5/E1ac/AAFff4makowREooICcl7hCJCQ6X4XK3a\nfhmY2dkwfryVL76wkpamULmywVNPuRgyxH3h2JusrCJv0vbvvyFk9LM4XnyVnCeeuqj2XRScTsKG\n3okRFkbm2O9KRJI9fepwwKefWvn6ayu13Af4LegOGmVtBcB1zXW4brwJre3VXhIe/NTjBPz0Iymr\nNqA3jgO3m8g2zdDr1ZcWqybN0OKaoDWKwx+pobouLWYrlpuImjKO1kfm0JOFaFgIDRV07CitU127\nauUTC1EK+GOc5uQUJFT5CZbvWP7nPnLmcWn4CyZT4fJMilJQ7NbtlkK4+aGqMvklIEC69z1xjWaz\nOKeUk28/yn2KjMDYQoQuIkJQp46VwMAcKlWSGnaVKskEE88wP3FCYdIkCz/9ZOHsWRVFEfTooTNs\nmIvOnQunwZt27iBs2F2YjhzG1akrGd+Ml7IA/4/gHau6jnryhFed2zblZ4zqNbxCo8Xh9GmFr7+2\nMnGihawsSV4feMDF8OEuIi5jTeVDhxRmz7Ywc6av5mFQkKBXL42BA9106qT7TRLOsm4NofcNIfvJ\nZ8h56LErBMqfKK4z1SOHCX34fiybNiJUVWaSFZEm6XbDli0mVq2Sj82bTWiabyUu69b5+tNqlXWI\n2rbVadNGp22TTGq5DmBUquxVYA55aBiWTZtQTxSvb+RBxlff4bztDgDCBvUD3SB9xhwATLt2EvDT\nD4jQMIyQEERwQeIjQkIwgvOeh4SUaWWTHxczMN1u+PlnCx99ZOX0aZXwcMHIkfJCLy71WT16hICJ\nE8h64eXzkhElM4OwQf3IeeBhnANuL1P7/IbcXNlWT3tlLZpiTz+3Tw8eVHjlFTuLF5vooS7hk9j3\naHJyGQDu5leRM3IUzlv7Suvm4YPoteqA2Yx68gRh/W/BdPgQSr5rWCgKRq3aaHFN0ZrIh96kKXqd\neoXNG9nZmBP2Yt67B9Pe3Zj37EHYbWT8PA0AJfEUwS89j33OLLSoGOY+tZjZ+5qwYoXZWzQYoH59\nna5ddbp00WjfXr/khqnLGUQuhOT5+a1b51q/PFtdx/uQ1QB8xzzkSNMKyo1kZ8uYy3PJkskkqxvk\nt2pB4coEvu8rPCancjs9WEw1TnhV9S8ERZEkKibGR6oiIwVJSbB1q6yjBlC7tsH997u48043ISGS\nIHgWsVlPPk32sy/+Y0UrLwZFjVUlM4PIlk3AaiF5064iF42HDyt8+aWVKVMsuFwKsbEGDz/s4u67\n3RVKSkcI2LNHZdaswsXFe/eWlqlrrrl4jSklMwNhkenvVwiUH3HeztR1AsZ+jggKInf4CAAsy5Zg\n+30hWc+OLjILxOGQOhqrVplZubJgEUe7XWC3CzIylAITXKVKBq1b67Rta9Cmjc5VV+VVy3a7UY8d\nxXT4EGpKspfoeIlPaBgiNLTCqDeXZWAaBsyaZWbMGBuHD6sEBgoefNDFI4+4iq+FhRTWDL/lRswJ\n+0j/cbJXKfmfBPvkn7AsX0rm198XSwCL69MlS0y89JKdgwdVuob+ydd1xtBw5ywUw0CvVZvsh0eS\ne+ddFLKJZ2X5SNCeXZj37sG8Zxdqik+BXygKqcvWYDp0CPOfG7CtWAaZ6ZhOnChAvgC0uKakrliH\nevQI4bf2wHQ6Ea1+A9Knz/GmEwshV5zLl5tZvryg1dZqFVxzjU6XLtI61bRp+WrIwD83Cy8z0xev\ntHOn3O7bpxawaKmqDPL3BHc3ayb3o6JKN5V6kibyk6qwz8dg2/oniS9/TG5srQKlnFJTFVyuIPbv\nz+XMGYWkJCXfViUpSSEj48J/rI1cvrE9zr3O78iyhPFzzwmcbndzAatWpUoG4eH/+hAooPixat6+\nFfV0Iq4eMubRtHcPet167D0YwOefW5k1y4xhyNCHkSNdDBrkvtj1cblDCNi0SWXWLAvx8WaSkiRr\nqlpVakwNHOimefOLnx+uECg/olSdmZUlhdvOJpG6bG2BYOXikJiosGqVdPetWmUqkCEUFWUQHCwJ\nVf64KlWVcQht2uh5liqDevWMCq9MXpq+FEKSgHfesbF7twmLRXDPPW5GjXJdOO3Z7SZs8G1YVy4n\ne8TDshZXSeF0XrSlzS/IE+Iz791N6vylGHXrFXna+frU5YJvv7Xw0Uc2srIUbm6YwNh6H1Jr2U8o\nTidGdDQZ30zA3anLeZti3rgey9rVaC1bYd6zB/P2rdhnzyjYXLsdrXVb9LgmqMeOIoKCcV/XHq1V\nG9TTiYQ89iBqWhp6dDSpK9YhKsVCVhbBo5/B2bc/7k5dvSTR5ZKFTZcvN7F8uZmdO32LjJgYw0um\nOnfWy0VDqKITKCF88UoeorRzp4lDhwpOAHa7oEkTwxvU3by5LELtV7HKcxtWCmvpucjJkdme+UmV\nh2QdO6awd6+JlFMulhudseFkIDM4SNHXhcVS0KoVE2PkkavCx/7JGZQlGatKZgbBbdtw1hnC/dlf\nsIibiIvTGTXKRe/eWoUs+3UhaBqsXWti1iwzv/1m8ZLvevU8GlNu6tcvwdzgdmNK2Idl+1aM0DBc\nvfteIVD+RGk60zo3nrDhd5N7a18yJ/wESOavZGSUKEVbCJke7CFUa9eavNlMqiqoXVtm8mRnCw4e\nNBUIVI2IEHTtqtGtm0a3bjrR0Zc3jqQolLQv16838dZbVjZuNKMogttv13jmGecFA0oBEILgp0cR\n8NMPOHvcRMbEX0ps2rf/9CMhTz1O2szfvLEDAePGIgICMSIiEBGRGOERiMhIjIjIwtYbf8PhwHTq\n5HmDvEvSp6dPK7z5po2pU6Ulctgtx3mnymfExE8idelqjNgq4HBgWb8WNSkJ857daK1ae92ZofcO\nwTZ/Lsk7EjBiq6BkpBP8/NNoTZqhV62Kmp6Ou30H9EZSDyiy3VWYDh8q0AZhteIY8zG5Q+7xHrP+\nNoewYTIJwYiOxtl3ALkDB6G1ubrAHe3MGYWVK02sWGFmxQqTd+UJ0KKFdPV17apz9dU61oJSWGVC\nRSBQaWlw7JjKkSMqR48W1rw6V+A2PFx4LUrNm+s0by4XVZft5lgEmbqYflVPnsCoWg1NgxW/JvPt\nL5Gs2CjTs6KiZGHbOnUMHA4lj4T5CNiFtPFsNl9FiFatfAVy/alPVV44X58KAatWmfj+41xu+uMN\nHuNLzOgca3MrAV+/g6hd+9I2tpzgdMLSpbJA+eLFZm/2bPPmskB5//4a1aoV/C8DP34f6+IFmHfv\nQnHKIvWua9uTPmfhFQLlT5S2My1/rMXdqo1MQ9d1wm6+AevWzeQOHETWq2/Km1UJ4YmfWrnSFz+l\n67LvAwIEzZrJFbjbDTt3mryidYoiaNnSoHt3je7dNVq2NCpEeMCF+nLnTqkevnSpnPV79XLzwgsu\nGjcuue5IwFdfEPzai7ibtSBtzsJSBUBbVi4n7O47SJuzEK1lazAMoqtGohhFf7+w2zEiIiWxiojA\nMeZj9IaNZDu++RK9dl1Zuw6ZLUSuExERQVnu8urpROw/fCdjPYqohVcS/PmnyksvWMjccYS21h2M\naLeFa0J3Y03Yjeng3wXcb7n9BpD57Y+yX1atQE0+i+vGnojgCwvDKpkZmPbuxbxnF+a9u1GSk8l5\n9HG0Vm0KnigE5k0bsc+chi1+JurZswDoteuQO+B2nAMHFSKPhgG7d6ssXy7J1IYNPh2ZoCBBhw4e\nQqUVrz11AVwKAuVwUIAQyYdPWqE4d1ZYmBT9rFXLyLMuScJUrVrZfqu/oaSlEjLqMYzISG/Wrgdl\n7deAcWMJevNV0mbOK6B1tG+fyoQJFqZOtZCdrWCzCfr107j/fhdXXSWvWSFkX585U9iqJbeq9/np\n00qBeNRatWTJKQ+hql+//N3HpUVRfWoYsHChFL/culVO/F26aLzSbzPX//oU1j/WImw2skc+SfbI\nJ8t/IXgJ4XDI3x4/Q2HpShuaptCE3UwNuo+kTn2o/NEooqMFIQ/eh21uvIztvKolWouWaG3aojW/\n6gqB8icupjMDvvuaoDdfRY+OwXz8GCIwiKz/PkvOg4+UyU2UmemLn1q1qmD8VHi4oEoV6cZLT1c4\nedIXRxUZadC1qxSz69JFL3W8g79QXF8ePKjw3ns2Zs+WFpIOHaR6eGmUbgGs838j9L4hGJVjSVu4\n7IKS/UXCQ5ZUFXQd64qlKKmpqKkpRWxTUFNT5fOMdF9Gm9NJTI2YAuUYAj7/hOC3ZGalERTstWKJ\n8AiMyAgvCRMRkWgNGuLudiMgY7nQNIJHP4t95jRyhtyD46PPvSTqfONTOXsWNTXFS0ICxo0l6J03\nUXKyC5znDIrAVCMWNfEUOQ88jKtLN/TGcahHjnhV48sdbjfWVcuxTZ+KbcE8lOwsebhFS5wDB+Hs\nP7DIxUdWlrwmPPFTf//tI5c1a/q0pzp21AgpYVEAf0ygubl4NaakFalgzb9zld09CAwU3vIzUjHd\nt1+zpnHeuL8KAcMg4rrWmE6dJHn7vgJxoGXtV8uaVYQ8+ZiUKMirF5cfGRkwZYqFCROsHDwo+7VN\nG53hw6WLqqRTbW4ubN/uq+W2cWNBoViPpctDqpo3N/xi8bwY5O9Tt1vGi37xhZWEBBM3cMH8AAAg\nAElEQVSKIrjlFo0nnvARSoTANms6Qa+9hCnxFHrNWjjeeBdXr1v+uX5MtxvTvr1YdmzDvH0r5h3b\nMO/dw4FVfxG/IpqVv55lxqa6fMUjPG36hM6ddQbfcIJu/QIJji6st3eFQPkRF9OZtviZBD/1BGpG\nOu6mzTGdPI6amopWtx5Zb73nrdpdVpw6peRl95nZskUWiS06BTq/fIIsZtyunc7NN7vp3v3SZTmd\n25enTil8+KGVyZMt6LrCVVdJEczOnUuvSGzetoXwvr1AUUmbuxCt+VV+bv0FoGm+HHG3G+uyJYjg\nYNzXdwSku8o2e0YBAqampqBkZxf6KGfPXmT89CsAge+/Q9CH75E+6RcCP3ofy/at6LFVcHXtjuPt\n94mpU4Wko2cw/7UP0949uDt3xahSFTSN6NqxaE2akrZY6pbZZk4j8ItP0eKa4KjTlF92XcUHi1pz\nzKhG9+46b76Rg6dwufnPDUTcciPua64je+QoOVYvVZBdVha2RfOxzZiKdflSFE0ja/QrZI96Wr5+\nHh20o0cVVqwws3y5idWrzV5LjskkaNtW90oltGhRvFW2JNe82y21rjwWI4/1yGNJOnOm6L6yWgU1\navgIUY0aglq1fEQpKqpiWJIuBgFjPyf49ZdwvPkuOQ8+6j1emrnUvH0rRmwVn2ab233BZBjDgBUr\nTEyYYOX336UoY3S0LBlzzz1uqlYt3e3CMCAhQWXDBhPr10tCdfy4738NCBC0bu2zULVtq5eYpPsL\nMTEhHD2ayS+/WPjqKytHj6qYzYLbbtMYOdJFgwZFL0IVRyaBH39AwLixKG63dz7RPRNARUVRZCmf\nGw6kPqMW15TMcRO8vyfxiItZ84OYNcvCtm3ywrfbBTfcoNG/v9SY8mgXXyFQfsTFdqZ64jghIx/C\numYVRlQ07jZtsS79HUXXcd7YE8eb7xUbIFxa6LokJYcPy9iJw4d9+3//rZKZWfT/FhAgqF7doHlz\ng4YNDWrXli6C2rVlSrG/JnRPX6akwOef25gwwUJurkKDBjrPP+/i1lu1Mn2XevwY4Td1Qz2bRMbE\nX/yqtl3uyM1FTUtFSUnxbkVkpFevyTZjKra58TheeQMREUHYwN5Ydu0EQK9aDVNwEOLAAa+bMeOb\n8d7YpaDRzyCiosl+6rlivz4hQWX0aFl02WIRjBjh5r//dRJ+dBdB77yO7fdFAGiN48h+9An52Zcw\nq1NJTsY2ZxauG3tiVK8Buk7kNa1wdepcyEV0LjQNNm+WwegrV5rZskX1pt9HRhp06qR7LVT5xQJj\nYkJITMzk1CmlgGstvxXp1CmlkBQA+Aoa5ydF+YlSpUqiwid7XCyU5GSiWjZGr1GT1LWbvJaNEs2l\nQmD/30SCX3gad9t2pM+aVybLyOHDCj/+KBdnaWlS3fqWWzSGD3dz7bVlLxlz/LjCxo0mL6nat883\nplRV0LSp4SVU11yjl6sIZWYmTJ8ewocfGiQlqdjtgiFD3DzyiKvEWmqm/X8RPPoZrCuXYwSHkLJt\nj9+qRFw08gK8jSpVEVFRYBhExdXxCgMDCIsFrXET6Ya7qpXcxjU9r4fn4EGFWbOkxtT+/ZJMBQfL\n8fH8805atgy+QqD8Bb+wUcMg4NuvCHr7dRSnk9xb+6Imn5W+aKuVnIceI2vU034RLDwf0tLgyBGV\nPXtUVq40s337+axWEiEhIo9MeYiV8O5XqyZKFaQaEBDCW285+eorK5mZCtWqGTzzjJNBgy4iE0QI\nwm++AcvmP3G89V6RtY3+TVBSkgnvfyvmvVLUlIAAXFe1Qm/SFC2uKa6u3TFq1irVZwoB8+ebefVV\nG0ePqlSqZPDyy05uv13Dsm83gWM/wzZzGoquo1erTs5Dj5IzZGi5j9eioB4/Rtjg23C3uw7Hh58C\nshwPqiqtfecJ9ktNhVWrzN7svlOnfEwmLk4GYCcmKpw4YeboUVEgHsYDRRFUqeIjRTVrGnlkSe5X\nqVK6a+LfipBHHsA+/dcCCRkXnEtzcgh+/ikCfvkfRkQEGV9/73VllxXZ2TBzpoXx4y3s3i3HRlyc\nLBkzcKD7oq3vaWmwaZPP7bd1a8Hknlq1ChKqBg0uLo7KExf7++8mJk60kp6uEBIiGDbMxQMPuKlU\nqQy3RCGwzv8N08nj5DzwMCDd/yIq6tK59fIsS6bTp7yeGfsP3xPy3H/J+Owrb8WL4CceAZOpxGTp\nfBACdu3yaUwdP64yerSTt9+2XSFQ/oI/zXmmvXsIffh+zHt2odWpS+6ddxEw6QdMx4+R/st0XN17\n+OV7SgNPUO6iRWYWLDCxa5fJu6KyWgUBATK9OH/tKw/MZukO9FmspNXKs++5vzqdMHGihc8+s5OU\nJGMJRo1yMXSouyQl3y4I89bNWBctIPu5F8t8wWuaDDTNylIqZLBoAWRnY126mJCnHkd1OEidu0hm\nrl0kcnJkeZzPP7eSk6PQpo3OO+/k0qqVgXrsqCyH87+JKNnZGOHh5AwbQc79D1169Wch5KDKGzzh\nPTpj2SZdm85+A3HeNki6cM/zJ3oyXj1k6o8/TN5srcqVoXp1vYCbzbNfrZqoECoXFR3mjRuIuPVG\ncvv0J/N7WavtfHOpevgQocPuxrJrB+6rWpExflKpFwLngxCwYYOJCRMs/PabGU1TCA2Vdd6GDXNR\np45/biX546g2bpSPtDTfOIyMNGjXzkeoWrQ4fxyVZ35evVq6pP/4w6eRFh1t8N//qgwalOnfenGa\nRsQNnTAiI0mfMrNMSS/nxbluuO1bMe/ZLaVVwsJJ/uuIFPrdu4eA778h9/Y70a69zr9tOAeGISuI\nyMXQFRee3+B3f6jTSdCYtwkY+xkoCtmPPYFer4GXYaunE1HPnL70MTx5SE2FlSvNLFliZtkyE2fP\nylW61J7SqVvXI6WgeN2E+dPK8yM6WlqsTp9WOH5cJSQEHn7YyUMPuS7eeHHOTbQ4GAakpCgkJnoe\napH7SUm+ml+NG+uMGCFXqBU5QcWycjnhg/qhV61G6pLVcsXoBxw/rvD66zbi46WrbvBgF6NHu6hU\nSaCkJBMw/lsCxo9DTUlBBASQunTNZY2dsKxbg23GNGxzZ6GmpQGg1W+Ac+AgcgfcjlGn7gU/IycH\nTp5UqFJFUKvW5Zcx+MdDCCK6tMe0P0HWmKxcudi51Lp4ASGPPoiankbO3ffheHtMiYpplxWJiQoT\nJ1qYNMlCUpIsGdO9u86998pg65gY/7lZ88dReUjVsWNFx1G1ayfjqJKSFFavlnVV1641kZLiO79B\nA52OHXU6dNDp1k0rl7GqpKYQ8vjDGFHROD4de/Gfl5GObW58IbLkgdcN17IVWouW5A6++7KKP1+J\ngfIjyqszLevWEPLYgyiZmaSuWi8Df5Gmb9uMqaTHL8B9bXu/f29pYBiwY4fK0qWSUOWPIYmNlTIJ\n3brptG2rkZqqcviwJFSSWMnHsWMKJhMMG+bmjTesCOGfvrR/Mxbr5J/Z8c4MjhrViyVHp0+f30Vp\ntwtiYwWxsdL94nLBokVyhRoVZTB0qJv77nNXWE2YmHGfwcsv4+ranfTJ0/1azmLtWhOjR9vYu9dE\nSIjgmWecDB+eV3MwKwv7Lz9hXbWSjImTQVFQT51ESU6+dJl758LpxLpsiYwbW7zAW6vS3aYtuQMH\n4ewzwFsO6XyoCDpQ/wZ4XDBZL7xM9pPPFO5XXSfw/bcJ+uRDhN1O5vuf4PzPkEvWPpcLfvvNzPjx\nVv7803fdWCyCqlVlXGi1ar5ttWoG1asLqlY1LmoBeOKE4iVUGzaY2LtXzVcap2C91NhYKRzbsaNG\nhw46VaoUnIfKday6XNL6JAQhj47A1akLzkF3ljqZRElKIrqpjPM9lyxdrBuuPHCFQPkR5dmZSkY6\npn37vNom6skTmP5KwD7lZzLHfitvhjk5eItUXWYkJyusWGFi6VIZR+JJxTabZVZf9+463btrxMX5\nXGCeUg42W8n7MidHij8WZy1KTFR5+ujj9NNmcA0bOEbNQp9hNkthvNhYQeXKBrGxMnbFsy+fG4SG\nFvb0nDyp8MMPFiZNkpXJLRZB374aDz6YLx24giAmKghnj5uwLf2drGdHk/308379fE2T7tcxY2yk\npSk0bKjz1ltOunQpXIMxaPQzBH4/jrRfZ+Hu2t2v7SgtlMwMrPPmYp8xFcvqlSiGgQgM4uzegxfU\nvblCoPwDxZFJZPNGiIgIUv7cQUxsuLdflbNnCX1oONZVy9Fr1SZ9wv/Qm7e4bG3dsUNl9mxZk/HE\nCZXjx5UCVSHORUSEh1AVJFeebaVKoti1TEoKrF1r9rrl8ktvmM0ir46hb1KqWVPGUXnkE/LHUV2K\nsWo6eICIbh1QsrNxt22H470P0Vq0PO977D+OR69bz1vlwDblZ/TGcRWOLBWFKwTKj7hUk6mSnkZE\nl/ZozZpL9ew8lh/0+stYly3B8c773pT4igBdh+3bpXVq6VIzW7f6VlFVq3pEPHU6ddK8q7WIiBD2\n7HFw6lTx1qJTp9QCMQNFITraILayQVzUaey1YrxEqUoVI48wCaKjL94Mn50N06db+PZbC3/9JWfD\na6/VGDHCTa9eWoURJz2bcJiIGzqhnjhO+pSZ5UJekpMV3nvPyqRJFoRQ6NXLzeuvO6ld23cJWlYs\nwz55EpljvwOLBSUtFcua1VJj5jJ2lnL6NPb4GShnz5I9+hUArHNmYZs3h+ynXygk1nmFQPkPwU+P\nImDSBNJ/nEzY0Du9/Rry6Ajs06bg7HETmV+OQ4RHXOaWFobTKbOaPYTqxAmVEydkOIJne64ivAdm\ns7RiVatmeK3XKSkKR48qeQWSfeKv7dv7LExNmhi43XJu3bDB7M34OzeO6uqrDSIjBYGBFpxOF4pC\ngYeqFr3vOyYu8HrB/fDMY9y09AWa75mOgcLmNvez/IbXcAZFFnp/WNoRHviwBY6wavz88jbad1ap\nXr1iWvCLwhUC5UdcMgKVlEToYyNwt21H9jMvyINCEPzsfwmYOB6A3L4DyHrtLYxq1cu9PaXF2bMK\ny5d7rFNmUlPlGLFYZPHS5GQZK3W+4REWJl1pRRGi2FiDmupxqm5dgDZs2CUVfRMCli838e23VpYt\nk5bAmjVldfjBg93+DeAsJTzj07x1M+G9e6K1aEnavN/LrX927pSyBxs2mLHZBI8+6mLkSFeR2UyB\nH79P0HtvodWrj+PtMRedUeVPBD/5GAE/TyLlj83o9RqAYWDZ8AfuFi2JqR17hUD5CaY9uwm7axBp\ns+cT1aaZzwKVlIR9xq8ya/YfqusghMzC8xAqSbSk7MVff0lLlsMB+V1y+REUJJMT8luuqlXzuQ1j\nY2VGp2HIhIf8br/8cVSXEt1YyheMpAl7OUsUo3mH8QzHoOAC6WbmsZ8G7EcuTtq21enXz02fPlq5\nSjv4A1cIlB9xSVejnhLnJhNoGoGff0zOAw9JrY4Xn8WyeRMiIIDsJ54i+5HHyzXQ8mKg67B1q5oX\niG5m/36VmBhBzZoqUVFuLyGqUsXnYqtcWZw/pdjhILzPTVh27SBtWjzuzl0v2e/Jj4QEle++szBt\nmoWcHIWgIMHgwW7uv99/mTylQf7xaVm2BK3t1eWu4yKEVDx+/XUbp06pVK1q8NprTvr2LajjZTqw\nn4Cxn2H/dTKKppH7nyE43ninYlgbhJAV6ps0BcCyfh3hfW5CqCpKs2bkNG+J1rI1Wus2aI2bXNag\n1n88srJAUYh59TnSet6K+yIFhCsadF0uLFatMrNmjSQ4nnpsiiILOsfF6VStKrDbZXiCx5p17JiK\nw1H0/VRVZdhBUeQqMBAqVzaoVCmYs2cdCAFCKBgGefsU2M//KHyOUuw5RX0GbjcNF31N85nvYM3N\n5GztVqy/8yNiDv7J3k7D0ayB3vempirMny/ruhqGgqIIrr1Wp08fjd69tbLJLpQzrhAoP+JymfPt\nEycQ8swo9Jq1yPxyHO5212Kb+gvBb76KmnQGvWZtHG++K2utVeicex/K3Je6TujQO7EtXkjOPcNw\nfPDJZf/NKSnwv/9ZGT/ewqlTMpOnZ0+NBx9007592YX6Sovi+lQ5e7bc5QUcDvjiCytjx1pxuRSu\nu07j7bedNGtWME7MtHMHIaMexbJzO3rlWBwffOqtEVhRYNq7B/vkSVi2bsGyc7sMxMuDsNvRmjbH\n3bqNJFVt2qLXrX8ZW/vPg3nHNiJ6dUeYzWR8PR7Xzbde7iaVGULIlPfVq2WN0nXrzAVKvsTFeTLl\nNNq31y9ooc7IoIBbMP/2xAkp2uqpgZof0dEGt92m0rNnNtdeq19yL7l6OpGgN17BPm2K91j2ffeT\nNebjQueeOaMwd66ZOXPMrF8vpXJUVXD99Tp9+2rccot22UqMnYsrBMqPuGzxEG43gR+9R+CnH4EQ\n5Ix8kqxnR6Pk5hD40fsEfPc1iqbh6tJNSvCfE8dREVHWvgx68VkCv/sGV5dupP88rUJZA9xumDvX\nzLhxvsKdzZrpjBjhon//ktfhKiuK6lPr0sWE3H8vjo8/x9n/tvJtAHDokMKrr9pYuNCCqgqGDnXz\n3HNOIiPzneR2Ezj2MwI/fA/F5SJ3wG043v7Ab9IL/kRMRAApqzdi2bYF89YtmLdulkWRdRk4727V\nmrRFKwBJDk1Hj+Du0BERFn4ZW13BoGlYVq8ERcHdpRsAMVN+RDz/PFnPv0TOQ49d5gaWDseOKd6g\n7zVrTAUCzGvVMujYUaNjR53rr9f9blXRNLxSMB5ydfCgwuLFZq/MTOXKBr17a/Tr56ZtW+PSeUVz\ncwm7vQ/WDesxQkJI2bSzQP3DonDqlCRTs2db2LRJzpkmk6BTJ+nm69VLI/wyXkpXCJQfcbkDSs0b\nNxD66AOYjhzG3awFmV99h944zuvWs65YJld1P025LEKcpUFZ+tI+fhwhLzyD1jiOtN8WV5wyA+dA\nCNi0SWXcOCu//WbGMGQdrvvuczN0aBkVgkuAovrUdGA/Yf1vwfH2GFx9+pfL9xaFZctMvPSSjQMH\nTERECJ5/3sk997gLrIxNCfsIGfUIls2bMKKjcbz7Ic4+/S/aomgY0miUm6uQmyv3c3LkvudYbq7i\nPefcbW6udMUEB0NsrBWTKZfgYEFoqFTjD7NkEZu4nci/t2CtFIp+1xAUBYJefp7AcV+ROncx2jXX\nghAEjP0crWkztJatLngz+VdBCMw7tmGb/iu2WTMwnTmNu3Ub0hYuB+RYTd6+z1fkW4jLbkkuDklJ\nCmvXmrykSQZ+S8TEGHTsqOc9NGrWvDyWE02D3btDmDjRxbx5Fm/cabVqBn36SDLVsmX5iQIrjkxC\nhw7Gunolrk6dyfj4S0Se+GnA5x+jtW3nLUlVHI4fV4iPNxMf76tRZ7EIunTR6dtXkqlLUV8wLQ12\n7DDRqpVO3bpXCJTfcLkJFMiBGvTKaAL+NxFhs5H18uvk3P8QKArWRQsI+PoLqQF0qaoClxGl7Uvr\n7wsJvfs/iKhoUhcuw6hRWK6gIuLYMYUJE6z89JOFjAwFq1UwcKDGAw+4Crm3LhbF9mlu7mWJkXO5\nYPx4Cx98YMPhUGjSROe115xUr254CU2Ow6B2/FiumvY6ZncuC2//mk0t7vUSmnOJT36SU9w5RSnl\nlycsFkFIiOB66590N34nvs7jWMMDqa0c5puFPlHRlKh6nK3ThoxGbchp1ga9RQuCYgIICYHQUFGR\njKllhnr4EPaZ07BN/xXzgf0AGBEROPsOIHfgHZJYcs5YFYLgZ55Er1GDnCeeulxN9zSF06cVtm1T\nWbvWzKpVJvbu9bH+0FBB+/YanTpJActGjSpOpQJPn7rdsGqVidmzLcyfb/bWPa1Vy6BvXzd9+2o0\na+a/diupKYQNvg3L5k04b+5NxrgJXnkC9fgxIq9ugd6gIakr/ihxksDhwwpz5liYPdvMrl2y/202\nQbduGv36yYK//qoelZsLf/4pXbCrV5vZtk3FMBSefdbJmDFXSrn4DRWBQHlgXTCPkKdGop49i6tT\nVzI//8q3msuDffJPqIcPST0gf0vwXyRK05emXTsJ790TxdBJmzUPrXXbcm6d/+FwwK+/WvjuOysH\nD8pJpEMHjREjXPToofvFzH6hPlUyM7BN/YXcYSMu6Wr/9GmFd96x8csvxTOE+uznFd7gIb4hmyCk\niCAUl7UEUrnZbvdt7XZZbshu9z232yEwsODzc99T1Dkmk/zPVDWI48dzyMyEjAyFzEyFjAwFhwPv\nfmamfO7bl20OJIsbWMLV/Ek7NnI1fxJBmrf9GiZ20YyNtONPrmay7T6CQqVKf0iIIDRUFLB8+R7y\nRh4SIggOhvBwmcEVGOiPf6v0UJKTscXPlDpbf24AZKyYs+fNOG+7A1fX7oXmn/xjVUlKIqJnF0zH\nj5E98kmyXnrtkoxPl0vGL+3erbJ7t4ldu2RtUI+mHchx0q6dz8LUvLlREWT4ikRR17/TKbOGZ8+2\nsGiRmaws2a/16kky1a+fRuPGZV/IKadPEz6oH+a9u8kddCeZn44tpFNo3rIJhPCWmFLS00rl4v77\nb4XZsy3Ex5vZt0+SqYAAwY03avTtq9G9u1aqsZ8/0H/VKqkI7yndZDYL2rTR6dRJZ/hwF40aXbFA\n+Q0ViUABKGfOEPLko9h+X4QRFk7GpF9wX3e9fFHXiejWAfXEcalufg65utwoaV+qiacIv6kbppMn\nSB//E67efS9B68oPhgFLl5r45hsrq1fLiaZOHYMHHnDxn/+4L2pVdaE+9RR1zXz3Q3KHjyj7F5UR\nmzerTJ4sSVR+shIQ4CE+vmPN1n5P9a3z2PffL1GrVylEjmy2S8MBy3LN67pMNvMRLHA4FDLSwXTo\nIGF/bSL68BaqndhEjbPbsOk5JFsqc2PT42Q6FKon7+C2zB+ZoN3DFtqU+HurVzeoV8+gfn358OxX\nreq/ciSFkJNDdFxdlOwshKLg7tiF3NsG4bqlNyKk+Ijpc/tVPXGcsNv6YP77gEwOGfORX/XCUlJg\n924Tu3er7Nolt3/9pRaqTFCrlkHTprKY9HXXyXIqFVzr0YsLjdWcHFiyxEx8vJnffzd7swMbN9bp\n10+6+erWLfltVD12VP5nhw6SM3wEjrffv6CFyfRXAuG33Ej2U8+S8+Cjpb6I9+2TIqfx8Rav6Ghg\noOCmmySZ6tatcKypEDI2c+VKKVi6Zo25gJZWkyaSIHfurHHttXqBOfhKDJQfUdEIFABCYP/pRwK/\n/JTU+UsLZFspjkxMe/b41M2PHJa6URVgCVWivtR1wnt1w7JtK46XXifn8ScvTeMuEfbskTII06db\ncDplQdMhQ9wMH+4qUyzFhfpUPXmCiO4dUDIySJuz0C9Fh8sLoffdhWXNKlJXb8CIrXLZ2lHu17ym\nYdq3F/VMolcbK+DrLwl+dTSpX00gqfttZGYqVH7zv+RYwzlZvS1HKrXhtKkamZmSnKWkKBw6pHLg\ngMqpU4VvYIGBgrp1C5Iqz35pCbvp4AECP/kQZ8+bcd3aB4CgN17BiKmEs//AEv9XRfWrkpRE2B39\nsezaQe6A28n84ptSJ4nourxZekiShzSd2y8BAYK4OEmWmjY1aNrUoEkT/ZLE2JQXSjNWHQ5YvNjM\n7NlSXsbj9m7eXGbC9e3rplat4ucg0/6/CLu9L6aTJ8h68mmyn3+5RGTIvHEDYfcNQU06g/OWPmR+\nNrZMsaxCyMLK8fEyAP3IEfn/hoQIevXS6NLFja4rrFsnrUwnTvj+/xo1DDp18rlhY2KK/51XCJQf\nUSEJlAdut3eysU/6AdPBv8l+bJSXUCmZGUR0aY9RqTKZY8dd9tTrkval9bc5WNatJuvt9ytskOnF\nIilJYdIkCxMmyIKmqiq4+Wapcn7NNSWXQShJn1pWLCPsjv4Yfi467HcIgenQ395xat60EaNSZYy8\nwNRLhctyzWdnY961E71+fURkFLhcRNetiuJyeU/RY6ugtWqD1qo17hYtMWKrYERFk2mN5O+jNg4c\nkITq77/l9uDBopWyq1QpTKzq15daQ6qKDAbftQOtWQtQFEz7/yLy+rbk/mcImZ9/XeafWKzkRnoa\nYYNvx/LnBpw9biLju4nFltvJzPRZlfbskWRp717Va1nJ/xubNjVo1sxDlnTq1Cm+vMo/FWUdqxkZ\nsGCBtOqsWGFC02T/tW4tg7f79NGoVq3g7dX0937C+/Qi++GR5Dz2RKm+Tz2dSMiDw7CuW4NWpy4Z\n30+6qNI9QsAff6h8+62VVavMhbS0goMFXbpodO4sq2HUri38OqdeDK4QqAqI8FtuxLx9K8m7D0hf\nc3a2XDl+8Qn2WTMQAQE4XnmD3PseuGzKvxfsS8P4x6oSlxVOJ8THSxmEnTvl7N6ypZRB6NNHu2AY\nW0nHZ+BHYwga83a5FB0uF2RlEdnhatTUVBwvv3ZJx21FueaVtFTM27ZKOYUtmzFv24Ip8VSR5yav\n34pRtx5kZRH68HDcHTqRdf8jnDypcGbZHtJ3nmR/agw7Eyux7XglEk6Gcm6sWSPrQR4O+x8DciZT\nw5HAjCeXEtzzGurXN4g8tBWt+VUX9R+ct1+zsgi7dzDWlctxdehE+sRfOJIS6iVLHsuSx+rggcUi\naNTI8JIkzzby/0nyoz/GamoqzJ8vg7fXrDF5NafatZPB271vdlK5qux3JS217EK4mkbQe28R+PnH\nCLsdx3sfkTv47hK/3eWCLVtMrFxpYtUqWT7MQ/xsNkFMjCAtDRwO2daoKINbbpG/4brrSq6TdYVA\n+REVZTK9IHJzMe/cjna1dN3Zpv9K6CMP4L76GrQGDbDNm4uani6Dzz8be1nKwZyvL+0/fI91ySIy\nx01ABP+DbeplhBCwfr2JceMsLFhgRgiF2FiDYcPc3H23u1iRuRKPT8MgdMjtsujwMy/4ygVVVAiB\nbfqvBL/4LGpaGq5r2+P49MtLYkWtyNe8euqk1KbavRP1bBJKcjJq8lkyJk5GhOMJAukAACAASURB\nVIahHj1CVNvmMrj3y3EABL30HIHfFrQcCasNZ2gU2bYItBwNm+MsYa5kAHKwM5fe/Mi9HKY2f1OP\n8EqWIq1WNWuW3KpTXL/m5Mg4l33bNTqMHUrrI/FsVq+mh7GAFHzW0qgow+t685ClBg2MipYrc0nh\n77F69qzCb7/JmKl160zcIH7nU0bxUtt5XDeoCrfeqhEdfXG3XeviBYQ8+iBqepq0ar73EUVFhBuG\nDHnwZMr98YfJa1FVVUGrVj63nCduzTBg40YTs2ebmTvXTFKSJFOVKkmdrL59Ndq1O38CT4UmUI0a\nNVKBucAGwArUA4YBAcB7wEGgATA6ISHh9Pk+6wqBKh6WFcsI/OJTLGtWogiBMJkwwiMwJZ/FCA7B\n8c77OO8YfEldZMX2pRCE3jUIy9bNpC5cfsldNhUNhw8rjB9v5eefLTgcCna74Pbb3TzwgLtQ9kxp\nxqeSkuwrOvzLDNzdbiiP5vsVyunThDz/FLZ5cxB2O1nPv0zOg4+UqwXtn3rNAyAESnoa6IbXVWtZ\ntwbzpj9Rk8+ipiSjnDmD+dBB1NOnICengB3K1b4Df33wK38lhlN3zOO03Die+67ZwbJTTUk6mssW\nWnOWaJKI4SzRpKjRiKgozFWjCK4VRUTDSCo3jaR6q0jCqgQWmF+io0PYtctRIE5p1y7pcjQMeZ4J\njfHcz1Am8lfE1fzvkZU0aSZo2lSWe/qXevTLjPIcq4mJCmef/oT2v7/NrWIuS7gRk0nQsaMUvLz5\n5rILXqpHDhN6/1As27eixTUlY8Ik9HoNOHpU8WbKrVlj8gqFAjRsKAO/O3XSad9eI+wCYVS6DuvW\nmYiPNzNvntmbaVmlitTJ6tvXTZs2haUd/gkEanRCQsJbec/jgalAR2BZQkLC1EaNGvUGBiUkJJzX\nvneFQF0YauIpbLNnYJsxDcv2rYBMFlcAd5urSR//E6Jq1UvSlvP2paZhOnr4ssdpVSRkZsLkyVIG\n4ehRefF37qzx0EMuunaVq6jSjk/z1s2E39oDERJC6pLVGNVrlFfz/Qrr3NmEPPdf1LNncbduQ+an\nX6E3jiuX7/qnX/Png+3XyQS/8AyqQ/4+d/OrcPYdgLtTF4TJhAgOxqhTV547azqWdWvJeulVRFg4\nziOnqXTjdZjTU1DFhdPgW0f8jbVhTerWdDNo9SimZvfml4yCJVxCQkSBoO6mTXUaN9SIHvMSri5d\nK1QB6oqIch+rQqAePsRRSz3mzJExU56KCxcteOl0Yn52NBG/fEeOJYQeMVtYc9I3/8fGGnTqJGOY\nOnbUqVKl7Ld7txvWrPGQKYu39E6NGj7R0RYtJJmq0AQqPxo1amRGWqIeBGYB7RMSEo41atQoEjiQ\nkJBwXk/2FQJVOpgO7Mc2Yyr2XydjOn4MAKEoZD/5LNnPv1ju318ojfl0Iuad23H9y4qL+hu6DosW\nmfn2Wwvr1slsysaNdcaOzaVbt6DSq7tP+I6Q55/C3aYtafELK5xeWHFQkpMJfuk57DOmIqxWsp96\njuzHRvm9tM+/6Zo379iGZc1qch4ZCciiySGPPUjugNtxDhyE3qhx6T/UMFDSUlFTUlDOnkVJTibr\n8FnSD6SQfSwZ/VQyakoy9wZPY9+xYNoYf7KRa5gc8iA/d/yCpk0NeuXMpHZUBiG9OyBqnl8gV8nM\nQD1zGr1eg/Oe9/8R5TFWA779CvXYUbLeeLdID8WFBC979NCK1XTOzpahCqtWSXmBnTtN3MlkOrGK\n50K+ov31el7gt079+uUjWOpywcqVUidrwQJfAHrt2gaff55L796Bl41AIYQo0aNhw4Y9GzZsuLBh\nw4av5z13NmzYMDxv39ywYUPRsGFD8/k+w+3WxBWUAYYhxB9/CNGxoyywPWKEPO52C/Haa0Ls3l3+\nbXA4hGjbVghFEWLDhvL/vn8JNm8W4q675N9mtwsxfnwZPsQwhBg8WIgWLYQ4ccLvbSx3zJkjRNWq\nshPathXC5brcLapYyN8fvXrJfkpIkM8NQwhdv2RNyc0V4q+9mshcuVmIvXt9L7RvL9sFQtSuLcTQ\noUL88IMQBw/KNnqgaUJ06SJEdLQQBw5csnb/v4RhCPH66/I/iY0VIjHxgm/Zt0+IN94QomlT398Z\nECDE7bcLMX26EBkZ8lbz5ptCdO4shNXqO89qFaJrVyHeekuI9evl7UcIIcQHHwhx5Ei5/lQPcnKE\nmD1biDvvFCIqqozzaelRLKcpdRB5o0aNJgHrgRe4YoG65DD9lYBesxbY7ViWLyX8jv7k3Dscx/uf\nyBP8WBLE25eGQeiwu7HNnyuDCD/76l8rV1BeWLzYxKOPBpCerjB4sIt333UWl/ldNLKyZEZVqd5U\ncaCkpxH02kuIqGipYu1H/BOveSU5GducWdin/4pROZaMCT8B0uKkpKbi6n7jZbc05u9X066dWNeu\nwrJuLZY/1qCm+dTa9eo1cF93Pe7rO+Jq3wHrqhVY1qwk8+vxFT979BLDb2NVCIJefZHAb75Er1mL\ntGnxXlduSbF3r0+jyVN5IT8URdC8uS/wu107vVDsuOWPtYT37YWrU1fSp8dfzC8qMy6nC++Cao2N\nGjVqAtRJSEiYl3foEFAXmAdcBxwDrs97fgXlDL1hI+++efdOAIxKlb3Hwvv0RNgDcA4chLN3X6lR\nc5EIevNVbPPn4urQicwPP7tCnsqAHj10lizJ4sEHg5k82cqOHSbGj8+hTp0Sriny2djNO7cj7AHo\nDRqWU2v9DxEWjuOTL+ViFkDXCX7qcXLvue8fWfanTMjOxrZ4AbYZU7Eu/R1F0xCKguuGHt5Cve5r\n21/uVhYJvVlzcpo1l8rUhoFp7x6s61Z7CZV92hTs06YAkDZ9Drl33wuKgnrkMJjNlyWL+F8LXSf4\n6ScI+HkSWoOGpE+LL1MVi7g4g7g4F88952LXLqkevn69mbg46Za7/nrtgvIS7mvbk/nR57g6dCrj\nj/lnoyRB5PWAD4AtgAWIAx4HXMAY4AgyM+/5K1l4lxbmHdsIevVFMr79ERETI7VZ7hqEZd0amcln\nseDqdoMkUz16FZl6ej7ExISQ+fEXhDz1OFr9BqTNX1J2TZErACAkJIQRI1z89JOV0FDBF1/k0quX\nVuL3q8eOEnl9W/TadUhdtrZCKNaXBZbVKwkf2Jvc/gPJHPfDRX1Whb3mDQPTgf2Yt2zCumYV1vm/\nFQwGHzhIKoNXuTRJIaVFaSQ3TAn7sKxbg+WPtbLWWnAwyunTRDdvgFBVMr77EVfvflJeOyjo/+0i\n7KLHqstFyKMjsMfPxN2iJelTZhaobHG5Yd6+lcAxb5P56VeISpUuyXf+Y4LILxZXCFT5wrp4AZYN\n68m5ayi2eXOxzZyGZdcOAIygYFw330ruwNtxd+paohtvzLb1iF69EGFhpC5YVmoT8RUUhmd8Tpli\n5rnn7OTkKDz2mJPRo10l5kKB772F1qYtrhtvKt/G/h979x0eRdUFcPg321M2CSX03hYERJoU6VKk\nWLDih6gIKthQLKjYO4q9ooBiRVEQEUF6lSJN+oC0ICo12dStM98fEzYgLQmbbMp5n2efZNvszcns\n7Nl775xbwKzLlxJwNQp9AJh37shXr1pRec8rhw6hx8QYCYLXS7kLG2BKTg7dH6xeA8811+d/Mngh\nO9+4mvbsJnbkvdjWrAa/n7Q338O2aD7W5cvwX9IBf7sO+C/pSLBe/VKTUJ1XTDMziRsyCPv8ufjb\ntMP91Xf5WmKlIMU++iBREz8hWLESaZ98Vig9qpJAhVFROZgWOl0n4fJeWFevJNDoAlLf+5hg0wsx\nq9uNM/mmTsGctA8ArXx5PDcMJOPp58+4OfP2bZTt1wPd4yHl+xkE2rYrrL+kRDtx/9yyxcSQIVHs\n3m2iffsA48Z5qFix8N6PRYlt1kzibv0fWUPuIOPxp8nLAnCRWsrF/PcB48MfiPrkQ2JHj8L96Vf4\n+l4OQNzNA9CdcfhbtCLQqvV5VwYvbOGKq2XDOuJv6I8pORlf2/aYd+/CfChnsEJLrICv3SX423fA\n376DkVyW0IQqvzFV0lKJu+kGbCuW4+vWHffEL/M8olAodJ2o998h5sVnAMgY/QxZd99XoP/PSCZQ\nxefdLM5OUUiZPJWsW4Zg2baVMr26EP3mawTr1iPz8ac49vtGkn+eS9bgocYaZtnJFIB500bMO3fk\nbOrQIeIHXgepqaS9/YEkTwWkcWONOXMy6NvXz2+/Wbj00mh++y33k26VY0eJu3kAlnVrCrCVhUNL\nTCRYtx7R48dRtkt7rEsXR7pJOTQN8w4V++SviH34ARIu7Uj5ulWJv6F/6CH+phfh7dEL/YTiOqmf\nTybt/Y/xDLmDQLPmxSp5CqfARS1ImT6bYMVK2Fb+hueW2zi2fA1pY9/Gc/W16GYzjp+m4Xz0Qcp2\nakO5xnWJu20Q5u3bIt30okHXib/xWmwrluO5oj/uzycXzeQJQFHIumcE7mkz0conEvvck8Td8j+j\nWGwJJD1QJZB1wVyc99+D+d9/jCKG730c+qYMgN+PkpJizJsC4m/oj23hfI6u2YRWqTIJV16Gde0a\nePZZDg9/IEJ/Rcl0uv1T1+Gjj6w895wdgNGjvdx9t/+cX9qsSxcTf+0VaFWrkTxvSVhOGIgoj4eY\nsa8Q9d5bKJpG1qDBZDz93DmHKcL9nlcOHcK6bg2W9WuwrjXWtDOlukP363Y7gSYX4m/ZioxnXiy2\n89DOJdxxNe3dQ8K1V2JO2kvmnXeT8dxLRs9E9qLU1t+WY12+FOtvyzD/8zfHVq4zCvX6/Tjvvh1f\n7354+18btvZEQn5japs1E9u8OaS/+kaxObNROXSIuOFDsC1dTLBmLVInfE7gwovC/joyhBdGk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vI/XjT/FedU1E2hQORWk/TU6GLVvMbN1qYssWM1u2mFBVE16vQqVKGl26BOnaNUDnzgGOz00u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\nDqCMMcYYY2aJAyhjjDHGmFnyP5QKPYJmpS1pAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112952710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "plt.figure(figsize=(10, 6))\n",
    "p1 = plt.plot(gbm.time_grid, paths_1[:, :10], 'b')\n",
    "p2 = plt.plot(gbm.time_grid, paths_2[:, :10], 'r-.')\n",
    "plt.grid(True)\n",
    "l1 = plt.legend([p1[0], p2[0]],\n",
    "                ['low volatility', 'high volatility'], loc=2)\n",
    "plt.gca().add_artist(l1)\n",
    "plt.xticks(rotation=30);\n",
    "# tag: gbm_class_fig\n",
    "# title: Simulated paths from geometric Brownian motion simulation class"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Jump Diffusion"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "uuid": "32912563-dcc1-4399-b5ed-1603c83f19f6"
   },
   "outputs": [],
   "source": [
    "me_jd = market_environment('me_jd', dt.datetime(2015, 1, 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "uuid": "66dda0df-b62e-4596-803f-3f74d0b83320"
   },
   "outputs": [],
   "source": [
    "# specific to simulation class\n",
    "me_jd.add_constant('lambda', 0.3)\n",
    "me_jd.add_constant('mu', -0.75)\n",
    "me_jd.add_constant('delta', 0.1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "uuid": "c1e390cc-dd6b-4186-a7be-012f8187ebe4"
   },
   "outputs": [],
   "source": [
    "me_jd.add_environment(me_gbm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "uuid": "31aeb150-6007-4eaa-b70b-8a798f044f0c"
   },
   "outputs": [],
   "source": [
    "from jump_diffusion import jump_diffusion"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "uuid": "e9c72a6e-3433-442e-9db3-02abf8efaff2"
   },
   "outputs": [],
   "source": [
    "jd = jump_diffusion('jd', me_jd)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "uuid": "18fd9ba5-e1c6-4e90-ac6a-fa3727acc524"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 16.2 ms, sys: 2.61 ms, total: 18.9 ms\n",
      "Wall time: 18.8 ms\n"
     ]
    }
   ],
   "source": [
    "%time paths_3 = jd.get_instrument_values()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "uuid": "38806874-53b2-4e91-9bd5-5764654446b8"
   },
   "outputs": [],
   "source": [
    "jd.update(lamb=0.9)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "uuid": "a2bd3f5d-44cb-458d-ae7d-9238d7a6b93b"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 14.6 ms, sys: 1.77 ms, total: 16.4 ms\n",
      "Wall time: 15.5 ms\n"
     ]
    }
   ],
   "source": [
    "%time paths_4 = jd.get_instrument_values()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "uuid": "5b744e93-dac1-4868-8499-6a8f70bcfc42"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Fzo1eeU9EpmmFn5WZ2LIysGVmYF+ZiZq/q8ZmetNmKHt2W1dUlYJFGZgpKeH7jfRWBCpa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\nCNQmq4KvfdMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11b27e940>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "p1 = plt.plot(gbm.time_grid, paths_3[:, :10], 'b')\n",
    "p2 = plt.plot(gbm.time_grid, paths_4[:, :10], 'r-.')\n",
    "plt.grid(True)\n",
    "l1 = plt.legend([p1[0], p2[0]],\n",
    "                ['low intensity', 'high intensity'], loc=3)\n",
    "plt.gca().add_artist(l1)\n",
    "plt.xticks(rotation=30);\n",
    "# tag: jd_class_fig\n",
    "# title: Simulated paths from jump diffusion simulation class"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Square-Root Diffusion"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "uuid": "5cee70a6-b34b-47dd-a0ca-e4a239209f9a"
   },
   "outputs": [],
   "source": [
    "me_srd = market_environment('me_srd', dt.datetime(2015, 1, 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "uuid": "cce8be97-72ab-44b8-8080-74caa746f4fe"
   },
   "outputs": [],
   "source": [
    "me_srd.add_constant('initial_value', .25)\n",
    "me_srd.add_constant('volatility', 0.05)\n",
    "me_srd.add_constant('final_date', dt.datetime(2015, 12, 31))\n",
    "me_srd.add_constant('currency', 'EUR')\n",
    "me_srd.add_constant('frequency', 'W')\n",
    "me_srd.add_constant('paths', 10000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {
    "uuid": "51da0da3-f606-4872-a44e-356ab708c1b7"
   },
   "outputs": [],
   "source": [
    "# specific to simualation class\n",
    "me_srd.add_constant('kappa', 4.0)\n",
    "me_srd.add_constant('theta', 0.2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {
    "uuid": "d88f4994-9f99-4b84-ae61-64b9ef193bfb"
   },
   "outputs": [],
   "source": [
    "# required but not needed for the class\n",
    "me_srd.add_curve('discount_curve', constant_short_rate('r', 0.0))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {
    "uuid": "9614dce2-b786-447f-b750-4ef4d78e1cd9"
   },
   "outputs": [],
   "source": [
    "from square_root_diffusion import square_root_diffusion"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {
    "uuid": "2ab8a1b3-0ca9-41cc-977b-a935a6f0bec8"
   },
   "outputs": [],
   "source": [
    "srd = square_root_diffusion('srd', me_srd)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {
    "uuid": "0ae9685b-e73c-45f5-996f-58c21843234a"
   },
   "outputs": [],
   "source": [
    "srd_paths = srd.get_instrument_values()[:, :10]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {
    "uuid": "c25fa7d4-688a-4275-9224-0bc20a8b54c0"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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l6CwW8hw5DASHOOzWMCig0+fS6R9nQ2YKJr0OgyWdseH9hAM9OIsvRlF0+KsP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i8Nf6V+gL9PKoavKwAr1BRTgUpblugGtvuHit2EjNCRLK7uWkp42pinUtWpiC5Sc/Z7jyJPGu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\nnSwRERGRCqiTJSIiIlKBfwC8ZQCy+z9llQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11b7cd240>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.plot(srd.time_grid, srd.get_instrument_values()[:, :10])\n",
    "plt.axhline(me_srd.get_constant('theta'), color='r', ls='--', lw=2.0)\n",
    "plt.grid(True)\n",
    "plt.xticks(rotation=30);\n",
    "# tag: srd_class_fig\n",
    "# title: Simulated paths from square-root diffusion simulation class (dashed line = long-term mean)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Valuation Classes"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### European Options"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {
    "uuid": "57252fe1-29a2-44bb-8cab-64337ea2bdc7"
   },
   "outputs": [],
   "source": [
    "from dx_simulation import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {
    "uuid": "9f6df028-fd97-4dc9-9960-d5202b94feb1"
   },
   "outputs": [],
   "source": [
    "me_gbm = market_environment('me_gbm', dt.datetime(2015, 1, 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {
    "uuid": "527be3e7-3e98-4fe5-b41e-23af730c0921"
   },
   "outputs": [],
   "source": [
    "me_gbm.add_constant('initial_value', 36.)\n",
    "me_gbm.add_constant('volatility', 0.2)\n",
    "me_gbm.add_constant('final_date', dt.datetime(2015, 12, 31))\n",
    "me_gbm.add_constant('currency', 'EUR')\n",
    "me_gbm.add_constant('frequency', 'M')\n",
    "me_gbm.add_constant('paths', 10000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {
    "uuid": "fc61c07b-7bb2-45ac-a10d-617a24747953"
   },
   "outputs": [],
   "source": [
    "csr = constant_short_rate('csr', 0.06)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {
    "uuid": "6acd3ae9-5986-4cec-9f66-407ddd79202e"
   },
   "outputs": [],
   "source": [
    "me_gbm.add_curve('discount_curve', csr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {
    "uuid": "dc0c43ae-c6f0-434e-ad6e-c3fbe91b1175"
   },
   "outputs": [],
   "source": [
    "gbm = geometric_brownian_motion('gbm', me_gbm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {
    "uuid": "17f4b627-7fb8-43f6-bb15-26a6a4d60b0b"
   },
   "outputs": [],
   "source": [
    "me_call = market_environment('me_call', me_gbm.pricing_date)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {
    "uuid": "838f54a8-e11c-4ab5-85ce-8393d89f957f"
   },
   "outputs": [],
   "source": [
    "me_call.add_constant('strike', 40.)\n",
    "me_call.add_constant('maturity', dt.datetime(2015, 12, 31))\n",
    "me_call.add_constant('currency', 'EUR')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {
    "uuid": "4bfb5550-ab6b-4b56-9604-3fad05c5f334"
   },
   "outputs": [],
   "source": [
    "payoff_func = 'np.maximum(maturity_value - strike, 0)'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {
    "uuid": "5a331672-9004-43b0-9ba6-61622d4e1b65"
   },
   "outputs": [],
   "source": [
    "from valuation_mcs_european import valuation_mcs_european"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {
    "uuid": "0ba08733-7d34-488e-b460-e5abc223a85a"
   },
   "outputs": [],
   "source": [
    "eur_call = valuation_mcs_european('eur_call', underlying=gbm,\n",
    "                        mar_env=me_call, payoff_func=payoff_func)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {
    "uuid": "1869f59a-2c88-4bb4-bde6-b662edbd5f62"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 11 ms, sys: 2.43 ms, total: 13.5 ms\n",
      "Wall time: 13.8 ms\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "2.1407759999999998"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%time eur_call.present_value()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {
    "uuid": "62330fe7-0fbe-4a24-886e-a9c64b61122c"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 7.88 ms, sys: 1.42 ms, total: 9.29 ms\n",
      "Wall time: 8.19 ms\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "0.51480000000000004"
      ]
     },
     "execution_count": 61,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%time eur_call.delta()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {
    "uuid": "999b5d90-57b9-46da-b7cc-981841df58b8"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 16.2 ms, sys: 1.41 ms, total: 17.6 ms\n",
      "Wall time: 16.3 ms\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "14.2782"
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%time eur_call.vega()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {
    "uuid": "bf5e7430-eea7-47ae-b1a6-e335c144929b"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 159 ms, sys: 3.34 ms, total: 163 ms\n",
      "Wall time: 167 ms\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "s_list = np.arange(34., 46.1, 2.)\n",
    "p_list = []; d_list = []; v_list = []\n",
    "for s in s_list:\n",
    "    eur_call.update(initial_value=s)\n",
    "    p_list.append(eur_call.present_value(fixed_seed=True))\n",
    "    d_list.append(eur_call.delta())\n",
    "    v_list.append(eur_call.vega())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {
    "uuid": "70b7e095-a138-47bb-90b5-2a658d74b87c"
   },
   "outputs": [],
   "source": [
    "from plot_option_stats import plot_option_stats\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {
    "uuid": "2590618e-3bfd-4416-82b6-eef269a28f38"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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WcyIivPQSPPBAyF2HGcDqz67kzXOTeestOHMm+L3cXLjxRpg/H2bMgISEVm6vSNOajbmR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\niMTU/wHnYB7ofXqqxAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11b412828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_option_stats(s_list, p_list, d_list, v_list)\n",
    "# tag: option_stats_1\n",
    "# title: Present value, Delta and Vega estimates for European call option\n",
    "# size: 75"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {
    "uuid": "2d5ca812-5448-47fe-9fd3-af2ab7eca13e"
   },
   "outputs": [],
   "source": [
    "payoff_func = 'np.maximum(0.33 * (maturity_value + max_value) - 40, 0)'\n",
    "  # payoff dependent on both the simulated maturity value\n",
    "  # and the maximum value"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {
    "uuid": "62c9340d-a2a3-477e-b640-389d81c3b8a1"
   },
   "outputs": [],
   "source": [
    "eur_as_call = valuation_mcs_european('eur_as_call', underlying=gbm,\n",
    "                            mar_env=me_call, payoff_func=payoff_func)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {
    "uuid": "50f5cf9a-d2c7-4e69-9361-e3bf8678c4a3"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 171 ms, sys: 3.11 ms, total: 174 ms\n",
      "Wall time: 176 ms\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "s_list = np.arange(34., 46.1, 2.)\n",
    "p_list = []; d_list = []; v_list = []\n",
    "for s in s_list:\n",
    "    eur_as_call.update(s)\n",
    "    p_list.append(eur_as_call.present_value(fixed_seed=True))\n",
    "    d_list.append(eur_as_call.delta())\n",
    "    v_list.append(eur_as_call.vega())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {
    "uuid": "a4602156-ade5-49fe-97c8-3088dc47944c"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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kJNvp5zpK2pdnVA959Onj0LdvJFj07u2QlNSWLRUREelamh1CjDEpwNPAGGtt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\nERGJhZIQERERicX/AzPMtPtOLFnnAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11b24e780>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_option_stats(s_list, p_list, d_list, v_list)\n",
    "# tag: option_stats_2\n",
    "# title: Present value, Delta and Vega estimates for European Asian call option\n",
    "# size: 75"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### American Options"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {
    "uuid": "5d69e0ae-939b-49fa-a329-2f0538f8cb20"
   },
   "outputs": [],
   "source": [
    "from dx_simulation import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {
    "uuid": "81d66ea7-15df-429a-9f87-fc2f2c881726"
   },
   "outputs": [],
   "source": [
    "me_gbm = market_environment('me_gbm', dt.datetime(2015, 1, 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {
    "uuid": "f822430b-6875-4b81-9c15-4684eea1225c"
   },
   "outputs": [],
   "source": [
    "me_gbm.add_constant('initial_value', 36.)\n",
    "me_gbm.add_constant('volatility', 0.2)\n",
    "me_gbm.add_constant('final_date', dt.datetime(2016, 12, 31))\n",
    "me_gbm.add_constant('currency', 'EUR')\n",
    "me_gbm.add_constant('frequency', 'W')\n",
    "  # weekly frequency\n",
    "me_gbm.add_constant('paths', 50000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {
    "uuid": "ed806c52-2dc7-4dec-a8dc-8e0d99e18a3c"
   },
   "outputs": [],
   "source": [
    "csr = constant_short_rate('csr', 0.06)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {
    "uuid": "78738a9b-8f75-4710-b31d-415cdade6bb8"
   },
   "outputs": [],
   "source": [
    "me_gbm.add_curve('discount_curve', csr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {
    "uuid": "4b0692ba-91f6-4d19-adfd-d4b31590542b"
   },
   "outputs": [],
   "source": [
    "gbm = geometric_brownian_motion('gbm', me_gbm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {
    "uuid": "ab695214-a424-4ead-9c96-ef75a8f52ed0"
   },
   "outputs": [],
   "source": [
    "payoff_func = 'np.maximum(strike - instrument_values, 0)'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {
    "uuid": "558b7076-4cc6-4e45-9e04-395eb3ba8aac"
   },
   "outputs": [],
   "source": [
    "me_am_put = market_environment('me_am_put', dt.datetime(2015, 1, 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {
    "uuid": "783eb5ab-6dd6-4561-9614-aedb4247d6ab"
   },
   "outputs": [],
   "source": [
    "me_am_put.add_constant('maturity', dt.datetime(2015, 12, 31))\n",
    "me_am_put.add_constant('strike', 40.)\n",
    "me_am_put.add_constant('currency', 'EUR')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {
    "uuid": "dd6bc5f2-ed01-4877-a7da-dee5d9bd9c45"
   },
   "outputs": [],
   "source": [
    "from valuation_mcs_american import valuation_mcs_american"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {
    "uuid": "a43bc735-e35e-4621-9185-5d9d415b0efd"
   },
   "outputs": [],
   "source": [
    "am_put = valuation_mcs_american('am_put', underlying=gbm,\n",
    "                    mar_env=me_am_put, payoff_func=payoff_func)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {
    "uuid": "eeb5de5d-f95b-4acd-bbab-2eae998d8f46"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 1.15 s, sys: 166 ms, total: 1.31 s\n",
      "Wall time: 856 ms\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "4.4706270000000004"
      ]
     },
     "execution_count": 81,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%time am_put.present_value(fixed_seed=True, bf=5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {
    "uuid": "671c9254-1fa5-432c-accb-4d0610abd910"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 34.6 s, sys: 2.02 s, total: 36.6 s\n",
      "Wall time: 23.2 s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "ls_table = []\n",
    "for initial_value in (36., 38., 40., 42., 44.): \n",
    "    for volatility in (0.2, 0.4):\n",
    "        for maturity in (dt.datetime(2015, 12, 31),\n",
    "                         dt.datetime(2016, 12, 31)):\n",
    "            am_put.update(initial_value=initial_value,\n",
    "                          volatility=volatility,\n",
    "                          maturity=maturity)\n",
    "            ls_table.append([initial_value,\n",
    "                             volatility,\n",
    "                             maturity,\n",
    "                             am_put.present_value(bf=5)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {
    "uuid": "125e9a02-1db7-4fdd-bdd8-6f0f522281d3"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "S0  | Vola | T | Value\n",
      "----------------------\n",
      "36  | 0.2  | 1 | 4.444\n",
      "36  | 0.2  | 2 | 4.769\n",
      "36  | 0.4  | 1 | 7.000\n",
      "36  | 0.4  | 2 | 8.378\n",
      "38  | 0.2  | 1 | 3.210\n",
      "38  | 0.2  | 2 | 3.645\n",
      "38  | 0.4  | 1 | 6.066\n",
      "38  | 0.4  | 2 | 7.535\n",
      "40  | 0.2  | 1 | 2.267\n",
      "40  | 0.2  | 2 | 2.778\n",
      "40  | 0.4  | 1 | 5.203\n",
      "40  | 0.4  | 2 | 6.753\n",
      "42  | 0.2  | 1 | 1.554\n",
      "42  | 0.2  | 2 | 2.099\n",
      "42  | 0.4  | 1 | 4.459\n",
      "42  | 0.4  | 2 | 6.046\n",
      "44  | 0.2  | 1 | 1.056\n",
      "44  | 0.2  | 2 | 1.618\n",
      "44  | 0.4  | 1 | 3.846\n",
      "44  | 0.4  | 2 | 5.494\n"
     ]
    }
   ],
   "source": [
    "print(\"S0  | Vola | T | Value\")\n",
    "print(22 * \"-\")\n",
    "for r in ls_table:\n",
    "    print(\"%d  | %3.1f  | %d | %5.3f\" % \n",
    "          (r[0], r[1], r[2].year - 2014, r[3]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {
    "uuid": "481d5438-d32b-40a2-aa8c-687b19138e29"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-0.46310000000000001"
      ]
     },
     "execution_count": 84,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "am_put.update(initial_value=36.)\n",
    "am_put.delta()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {
    "uuid": "84cf9547-c8b3-4205-81e5-8949ae798394"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "18.4939"
      ]
     },
     "execution_count": 85,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "am_put.vega()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Portfolios"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Position"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {
    "uuid": "e826f896-6999-4007-b0b2-c46750e0afc4"
   },
   "outputs": [],
   "source": [
    "from dx_valuation import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {
    "uuid": "636c1eae-142b-447f-a137-d36d81e4626b"
   },
   "outputs": [],
   "source": [
    "me_gbm = market_environment('me_gbm', dt.datetime(2015, 1, 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {
    "uuid": "6e3324f6-21ee-46f4-b330-205ab3766f1f"
   },
   "outputs": [],
   "source": [
    "me_gbm.add_constant('initial_value', 36.)\n",
    "me_gbm.add_constant('volatility', 0.2)\n",
    "me_gbm.add_constant('currency', 'EUR')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {
    "uuid": "4133fd96-79aa-4df7-8dbb-328561e2267c"
   },
   "outputs": [],
   "source": [
    "me_gbm.add_constant('model', 'gbm')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {
    "uuid": "552c207a-7c7d-4809-a5ee-64c11d7604a3"
   },
   "outputs": [],
   "source": [
    "from derivatives_position import derivatives_position"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {
    "uuid": "d2cd3a35-f2a9-470c-a705-299172dd8887"
   },
   "outputs": [],
   "source": [
    "me_am_put = market_environment('me_am_put', dt.datetime(2015, 1, 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "metadata": {
    "uuid": "f3bd69f3-c361-44ce-9cad-3584366b459f"
   },
   "outputs": [],
   "source": [
    "me_am_put.add_constant('maturity', dt.datetime(2015, 12, 31))\n",
    "me_am_put.add_constant('strike', 40.)\n",
    "me_am_put.add_constant('currency', 'EUR')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {
    "uuid": "70aa8500-9a8a-4d54-951e-ac820eaff24d"
   },
   "outputs": [],
   "source": [
    "payoff_func = 'np.maximum(strike - instrument_values, 0)'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "metadata": {
    "uuid": "ce2244bd-c4c0-4386-a518-06c3373a96b1"
   },
   "outputs": [],
   "source": [
    "am_put_pos = derivatives_position(\n",
    "             name='am_put_pos',\n",
    "             quantity=3,\n",
    "             underlying='gbm',\n",
    "             mar_env=me_am_put,\n",
    "             otype='American',\n",
    "             payoff_func=payoff_func)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "metadata": {
    "uuid": "9bb959eb-6ce0-48eb-9f1f-bf64eee505fe"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "NAME\n",
      "am_put_pos \n",
      "\n",
      "QUANTITY\n",
      "3 \n",
      "\n",
      "UNDERLYING\n",
      "gbm \n",
      "\n",
      "MARKET ENVIRONMENT\n",
      "\n",
      "**Constants**\n",
      "maturity 2015-12-31 00:00:00\n",
      "strike 40.0\n",
      "currency EUR\n",
      "\n",
      "**Lists**\n",
      "\n",
      "**Curves**\n",
      "\n",
      "OPTION TYPE\n",
      "American \n",
      "\n",
      "PAYOFF FUNCTION\n",
      "np.maximum(strike - instrument_values, 0)\n"
     ]
    }
   ],
   "source": [
    "am_put_pos.get_info()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Portfolio"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {
    "uuid": "a7f7a55f-cf66-457a-ba2f-9c9f15697d98"
   },
   "outputs": [],
   "source": [
    "me_jd = market_environment('me_jd', me_gbm.pricing_date)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {
    "uuid": "4c2da9df-820c-49bb-9da0-fa212aa8ac40"
   },
   "outputs": [],
   "source": [
    "# add jump diffusion specific parameters\n",
    "me_jd.add_constant('lambda', 0.3)\n",
    "me_jd.add_constant('mu', -0.75)\n",
    "me_jd.add_constant('delta', 0.1)\n",
    "# add other parameters from gbm\n",
    "me_jd.add_environment(me_gbm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "metadata": {
    "uuid": "6f93e1aa-7ccb-4434-b79e-2357bb056fc9"
   },
   "outputs": [],
   "source": [
    "# needed for portfolio valuation\n",
    "me_jd.add_constant('model', 'jd')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "metadata": {
    "uuid": "178e550a-e040-4ac8-9ad8-e3bbf4fdc50d"
   },
   "outputs": [],
   "source": [
    "me_eur_call = market_environment('me_eur_call', me_jd.pricing_date)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "metadata": {
    "uuid": "08c13651-9fbf-44bf-b9a9-e94409a6e891"
   },
   "outputs": [],
   "source": [
    "me_eur_call.add_constant('maturity', dt.datetime(2015, 6, 30))\n",
    "me_eur_call.add_constant('strike', 38.)\n",
    "me_eur_call.add_constant('currency', 'EUR')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 101,
   "metadata": {
    "uuid": "c62a77e4-a502-4ceb-a5a3-9b3ec2be7d72"
   },
   "outputs": [],
   "source": [
    "payoff_func = 'np.maximum(maturity_value - strike, 0)'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 102,
   "metadata": {
    "uuid": "f1cb96fa-385a-41d6-b68d-1f80c9590370"
   },
   "outputs": [],
   "source": [
    "eur_call_pos = derivatives_position(\n",
    "             name='eur_call_pos',\n",
    "             quantity=5,\n",
    "             underlying='jd',\n",
    "             mar_env=me_eur_call,\n",
    "             otype='European',\n",
    "             payoff_func=payoff_func)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "metadata": {
    "uuid": "e8df55ac-a860-4dd6-88f2-c4aa15e323f9"
   },
   "outputs": [],
   "source": [
    "underlyings = {'gbm': me_gbm, 'jd' : me_jd}\n",
    "positions = {'am_put_pos' : am_put_pos, 'eur_call_pos' : eur_call_pos}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 104,
   "metadata": {
    "uuid": "38a7b06d-9923-4729-bbaf-184b55930d69"
   },
   "outputs": [],
   "source": [
    "# discounting object for the valuation\n",
    "csr = constant_short_rate('csr', 0.06)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "metadata": {
    "uuid": "d8ecc803-4ea8-45b4-975f-88e716a171e6"
   },
   "outputs": [],
   "source": [
    "val_env = market_environment('general', me_gbm.pricing_date)\n",
    "val_env.add_constant('frequency', 'W')\n",
    "  # monthly frequency\n",
    "val_env.add_constant('paths', 25000)\n",
    "val_env.add_constant('starting_date', val_env.pricing_date)\n",
    "val_env.add_constant('final_date', val_env.pricing_date)\n",
    "  # not yet known; take pricing_date temporarily\n",
    "val_env.add_curve('discount_curve', csr)\n",
    "  # select single discount_curve for whole portfolio"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 106,
   "metadata": {
    "uuid": "1f533a99-c881-4628-befe-ce63bbfdaafd"
   },
   "outputs": [],
   "source": [
    "from derivatives_portfolio import derivatives_portfolio"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "metadata": {
    "uuid": "7a231d26-ec5f-4b0f-8c2e-d5ee4b93f0c4"
   },
   "outputs": [],
   "source": [
    "portfolio = derivatives_portfolio(\n",
    "                name='portfolio',\n",
    "                positions=positions,\n",
    "                val_env=val_env,\n",
    "                assets=underlyings,\n",
    "                fixed_seed=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 108,
   "metadata": {
    "uuid": "ec163641-6908-4fc8-bb75-95483021f1b4"
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>name</th>\n",
       "      <th>quant.</th>\n",
       "      <th>value</th>\n",
       "      <th>curr.</th>\n",
       "      <th>pos_value</th>\n",
       "      <th>pos_delta</th>\n",
       "      <th>pos_vega</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>am_put_pos</td>\n",
       "      <td>3</td>\n",
       "      <td>4.460280</td>\n",
       "      <td>EUR</td>\n",
       "      <td>13.38084</td>\n",
       "      <td>-2.0406</td>\n",
       "      <td>30.5181</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>eur_call_pos</td>\n",
       "      <td>5</td>\n",
       "      <td>2.814638</td>\n",
       "      <td>EUR</td>\n",
       "      <td>14.07319</td>\n",
       "      <td>3.3605</td>\n",
       "      <td>42.7900</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "           name  quant.     value curr.  pos_value  pos_delta  pos_vega\n",
       "0    am_put_pos       3  4.460280   EUR   13.38084    -2.0406   30.5181\n",
       "1  eur_call_pos       5  2.814638   EUR   14.07319     3.3605   42.7900"
      ]
     },
     "execution_count": 108,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "portfolio.get_statistics(fixed_seed=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "metadata": {
    "uuid": "97aebfec-ec91-4d6b-af5f-ff36c5300122"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "pos_value    27.489253\n",
       "pos_delta     1.271000\n",
       "pos_vega     73.308100\n",
       "dtype: float64"
      ]
     },
     "execution_count": 109,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "portfolio.get_statistics(fixed_seed=False)[['pos_value', 'pos_delta', 'pos_vega']].sum()\n",
    "  # aggregate over all positions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 110,
   "metadata": {
    "uuid": "2448b331-3d97-4358-a07b-453dc15659f8"
   },
   "outputs": [],
   "source": [
    "# portfolio.get_positions()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 111,
   "metadata": {
    "uuid": "aa0c765f-2e15-4e74-a46e-ed8e7c43e825"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4.4720209999999998"
      ]
     },
     "execution_count": 111,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "portfolio.valuation_objects['am_put_pos'].present_value()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 112,
   "metadata": {
    "uuid": "ea398cfa-fb40-4ed8-b9bf-c067d135fe11"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.64980000000000004"
      ]
     },
     "execution_count": 112,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "portfolio.valuation_objects['eur_call_pos'].delta()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 113,
   "metadata": {
    "uuid": "f8a828ff-4fc9-40b4-8dee-f3b27035978b"
   },
   "outputs": [],
   "source": [
    "path_no = 777\n",
    "path_gbm = portfolio.underlying_objects['gbm'].get_instrument_values()[\n",
    "                                                            :, path_no]\n",
    "path_jd = portfolio.underlying_objects['jd'].get_instrument_values()[\n",
    "                                                            :, path_no]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 114,
   "metadata": {
    "uuid": "01f6d3d3-3459-4d94-abfc-ac6fbf887671"
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 115,
   "metadata": {
    "uuid": "9cd814c6-2762-489a-b926-883a078f0142"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x11bc8e240>"
      ]
     },
     "execution_count": 115,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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9Xm+hx+PpBtzi9Xo77em1gsGQZbfrtxqRVLZ4MfTsCatXb7vN7Yb69aFBg52/\ntmkDBx2UuPH+03vvQbducP318MgjO9//7bfwwAPw8ssQDkOzZpGeSAUF+35Mjwf++AM2bmSvYWzB\nAujcOdKLKRpnnAFTprDf7QamT4fTT4fLLoNnntm/1xJJI7v99SSaAHUnYAJ+oDPgBN7wer1jtntM\nBlAMuLxe725/xSos3BL3Szry83MoLNwS78NUCzqXsZfq5/SNN+zcdFMGZWUGffv6MU344w8bf/xh\n8PvvBoWFBpa148+b7GyL8ePL6NBh97Mv+6Oy5/TaazN49VUH775bwrHH7npJDWDVKoMxY1z8738O\n2rQJ8uabZfs0vg0b4IgjcjjllCCvvRbda6xebfDFFyZ+v0F5OZSXg99v4POB3w/l5ZHbly41WbLE\npF8/PyNGlO/zTNRvvxmcfnoma9famDWrhBYtwin/dzUZ6ZzGXrzPaX5+zm7/Ve31dxav13t/xZ//\nDkrZXq93jMfj+S9wt9frDQKHAT/tKTyJSOoKhWDYMBePP+4kO9ti0qRSunbd+Z97MAh//WX8Hahs\nrFxpY+RIJxde6GbkSB8XXpjYrtY+H7z3np2DDgrvth6pQpMmFmPH+vB6bSxYYFJUxA5X0EXrq6+2\n9X+KVuPGFo0b7/1cFRdDjx6ZTJzopHHjMNdeW/m+TevXG5x3npu1a23cfXc5LVrs+byISERlrsLr\nBbQDnB6P5wLgD+BJj8fzE9ACuCg+QxSRRNq4Ea64ws3cuXaaNg0zaVIZhx226w9Zux3q17eoX98C\nIo858cQQF1/s5sYb3fzySzmDBvkTVi81e7adLVsMLr44EPUYOncOsnixi7lz7ZxxRuUDYEX907HH\nxv73y+xseOmlMrp2zWTo0AwaNbIqNcbiYujTx83KlSZXX+3nuuuSb1sZkWQVdYDyer1TgClxHIuI\nJJlvv7XRr5+b1attdOkS5Mknyyo9C3P88SGmTy+hd+9MRo1ysWaNjdGjfTgTsIPJ1KmRH3lnnRX9\nTE2XLkEeesjFhx/uW4BauDASoCoaaMZavXoWL71URo8emVxzTQZ165Zy3HF7n0UqL4dLLnHz1Vcm\nvXsHuPfe8riMTyRdqZGmiOzStGl2unXLZPVqGzffXM7kyZUPTxWaNrV4771SCgpCvPaag9693Wze\nHNvx7k1JCXzwgZ1DDgnTsmX0y1QtW4bJzw8za5ZJuJKrW6FQpIHmYYeFyMur5IAroXnzMM8+W0Yw\nCP36uVm1as/Ta6FQpBbso4/sdO0aYNQoX8pcRSmSLBSgRGQHoRA88ICTSy91AzBhQhm33+7f70v5\nDzggsnVJt24B5s+30717Jmt7C7PoAAAgAElEQVTWVN2n9ocf2iktNejZM/rlO4hcNde5c4h162ws\nWVK5k+D12iguNigoiH9dUceOIYYPL2f9ehsXXpjJht00lbEsuOMOF2+95eCEE4KMG+fThsEi+0AB\nSkS2KimBiy92M2aMi4MPDvPee6V07x67wu/MTBg/3scVV/jxek1OOy2TZcuq5sdQxfLdmWdW/v10\n7hx5zocfVi5pbL+BcFW4+OIA119fzqpVkaVXn2/nx4wY4eT55500bx5i8uQy3O4qGZpI2tHvHSKy\n1cSJDj780E779kGefrosLstOpgn33VdOw4Zh7r7bxRlnZPLss2V07hwJGeXlkS1FCgu3/bdunY3C\nQoNwGK66ys9BB1WuI8qWLTBrlp0jjgjRrFnlZ4Patw/icFjMnGln0KDoC62jaaAZa4MH+/nlFxtT\npzq44YYMnnzSt3X2cPx4ByNHumjcOMz//ldGbm6VDUsk7ShAichW779vxzAsnnjCF9eaHYDLLw/Q\noIHFVVdl0Levm0MOsSgsNCgq2vP62qxZdt5+u5QDD4w+RL33np3ycmOfZp8AcnLghBNCzJtn588/\nDerUie7YixbZyMqyOOKIqmsNYLPB2LE+1q41ePNNB40bhxk82M8bb9gZPNhFfn6YV18tjfo9iMiu\nKUCJCBBpV/DFFyYFBWEOOKBqPlxPPz3Im2+WcvXVkaLyBg3CtGplkZ+//X9h8vMtDjjA4u237Tz2\nmIvevd1MnVoadVH71KkOoHJX3/1T585B5s2zM3u2GdVmv5s2wfffm7RtG8Ss4g0YMjIi29N065bJ\nmDEuNm0yeOEFBzk58MorZRxyiMKTyP5SgBIRINIjKRQyOPXUqm12WVAQZsGCkqge26qVn6Iig0mT\nnPTt6+b11/fe2XvjRpg716RFixBNm+57cOjSJci990bqoKIJUPvSQDOWate2ePnlUrp1y+T5551k\nZFi88EIZRx2lRpkisaAichEBIpf4QyQoJCvDgOHDy+nePcDnn9uZPNmx1+e8+66DYNDgrLP27301\nbWpx8MFh5s6144+iDCoR9U//1KSJxaRJZRQUhBg/vowTTtBmESKxogAlIgQCkRmohg3D+1RkXZVM\nMxKisrMtHn7YSVHRnh//5psVV9/t+/IdRMJbly5BiosNFizY+5pcxRV4VdHCYE+OOy5yNWWXLgpP\nIrGkACUifPGFyebNBl26BFOioWJ+vsV11/lZv97GQw/t/nF//WXwyScmBQUhGjXa/7qfaNsZhMOR\nANWkSZjatVVvJJKOFKBEZOvy3b/+lbzLd/90+eV+6tQJM3Ik/PHHrlPftGl2wuFI88xYOOmkEJmZ\nFjNn7nkG6ocfbBQVGQldvhOR+FKAEhE++MBOZqbFSSelzgd+VhYMGuSnrAweemjXG+u99VakLcO+\n7GG3Ky4XtGsX5IcfTH76afdTdV9+GfnRmqgCchGJPwUokWruxx8NfvzRRvv2QTIyEj2ayundO0Cz\nZvDiiw683h1/nK1da/D553ZOPDFE3bqxW0arqCWaOXP3y3gVBeQKUCLpSwFKpJqrqOdJpeW7CnY7\nDB8O4bDBsGGuHe57++1937plT6Kpg1q0yCQz00r6gnwR2XcKUCLVXEX9U8VWKqmme3c48cQg779v\n57PPttUmTZ3qwDStmO7lB1CvnsVRR4X49FOT4uKd7y8qgu++s3H00SFt0iuSxhSgRKqxzZvh889N\nWrcOVWprlGRiGHDPPeUADB3qwrJg9WqDr74yads2RH5+7N9X585B/H6DefN2TkiLF5tYlqHlO5E0\npwAlUo3NmWMnGDSSunlmNAoKwpxxRoBFi0zeecfOW2/t/9Yte1KxjLerq/G2NdDU8p1IOtMEs0g1\nlortC3Zn8OBypk+3M2yYi4wMC4fDolu3+LyvgoIwtWqFmTnTjmWV79A7a1sDTc1AiaQzzUCJVFPB\nIMyaZad+/XBa7I/WpIlFv34BfvrJxooVJh06hMjLi8+xTBM6dAjx++82vv56249Ry4oEqEaNwim7\nJCoi0VGAEqmmvvzSZOPG1Ok+Ho2bb/aTnR0JLvFavqtQsey5fTuDVasMNm5U/ZNIdaAAJVJNffBB\nZKkpHZbvKuTnWwwdWs5JJwXp2jW+76tDhyA2m7VDO4OFCyPn9NhjFaBE0p0ClEg19eGHdtxui5NP\nTq8P+759A0ydWkZ2dnyPU7NmJCgtWmRj/frIFJ7qn0SqDwUokWro558NvF6Tdu1CuN2JHk3q6tIl\nhGUZzJkTCU5ffmmSkWHRvHnq15SJyJ4pQIlUQ6ncfTyZbGtnYKe4GFassNGqVQiHI8EDE5G4U4AS\nqYYq2hekev+nRGvWLEyDBmFmz7azaJFJOGzwf/+n2SeR6kABSqSa2bIFPv3UpFWr2G6yWx0ZRmQW\natMmg3HjnIDqn0SqCzXSlGrtt98M5s0zyc2FmjWtrf/l5Vk4nYkeXXzMnWsnEEj97uPJokuXIBMn\nOre2M1ALA5HqQQFKqi3LgksvdfPVVztvxwGQlWVRq1YkTNWsaXH22QEuvDD1Q0c6dR9PBiefHCIj\nw8LnMzjooLBm9USqCQUoqbbmzzf56iuTE0+M9AzauNHY5X8//mijtNTg44/t1KlTSqdOqTvDEArB\nrFkmdeqEadlStTqxkJkJbdqEmDXLrtknkWpEAUqqrbFjI2t0995bTuvWew4Ty5bZ6NYtk2uuyWD2\n7FLq10/NWYavvrKxbp2Nvn392FQBGTP/+leQWbPsHH+8ApRIdaEfoVItLV1q46OP7LRtG9xreAJo\n2TLMffeVs2GDjcsvzyCYoqtfal8QH337BnjssTL69o3v9jEikjwUoKRaqph9uv56f9TP6d8/wJln\nBvjiCzsPPpiaFebvv2/H5bJo21YzJbHkcMB55wVxuRI9EhGpKgpQUu38+KPBO+/YadUqRLt20QcJ\nw4BRo3wcfHCYsWNdzJq16+LzZLVmjcGKFSZt24bIykr0aEREUpsClFQ7jz3mxLIMrr/ej2FU7rk5\nOTB+fBlOp8U112Swdm0lXyCB1DxTRCR2FKCkWvn9d4NXX3XQtGmYbt32LUi0aLGtHuqKK1KnHkr1\nTyIisaMAJdXKU085CQQMrr3Wj7kfK3D9+wc444wACxbYGT48+euhvvvOxiefmDRvHqJBg9S8glBE\nJJkoQEm1sXEjTJzooG7dMOecs39XS21fD/XIIy5mz07OeqhQCB57zEHnzpmUlxtcfLGuEhMRiQUF\nKKk2JkxwUlpqcNVV/phcLVWjBjz7bPLWQ61aZXDmmW6GDs0gN9di0qRSLrlEAUpEJBYUoKRaKCmB\nZ55xkJdncdFFsQsRLVuGGTq0nPXrk6ceKhyGCRMcdOyYxRdf2DnzzAAff1xK165qXSAiEisKUFIt\nvPSSgw0bbPz7336ys2P72pdckjz1UL/+anDeeW5uvz0DlwuefrqMZ57xUbu26p5ERGJJW7lI2gsE\n4IknnLjdFgMGxH4Jq6Ieatkyk0ceceHzGRx7bIijjw7RsKFV6VYJ+8Ky4JVX7Nx5ZwZbthh06RJk\n1CgfdeooOImIxIMClKS9KVPs/PabjQED/HGbiamoh+rZM5Nx45yMGxe5vXbtMK1ahTn66Eig6tQp\n0rV6e+XlkfYKa9faWLt2+68GxcUGOTkWubmQm2tRo4ZFXl7ka25u5PaMDIvRo53MmOEgO9vikUfK\n6N07WCXBTUSkulKAkrQWDkcaZ9rtFlddFf22LfuiZcswS5cWs2SJyZIltr+/msyebWf27G3/1OrW\nzeLww8Ns2hQJSevWxWYlvW3bIGPG+GjYULNOIiLxpgAlae399+18/73J+ecHOOig+AeL7Gw4+eQQ\nJ58cAiLLhevXGyxdGglUK1a4WLAAPv7YjtttUa+eRbNmQerVs6hfP0z9+pGv9epZNGgQJicHtmyB\nzZsNiooMNm82tvszW29r0SJE795BbKpqFBGpEgpQkrYsa9umwddeG9/Zpz2pXduiY8cQHTuGyM93\nUVhYQkkJZGYS1TJbrVpQq5YFaGZJRCRZKEBJ2vr0U5NFi0xOOy2AxxNO9HB2oM18RURSmyb8JW09\n8khk9um66xI3+yQiIulJAUrS0rJlNubOtdOmTZD/+7/kmn0SEZHUpwAlaem11yK9AuJ95Z2IiFRP\nClCSlubMMcnMtGjXTtuXiIhI7ClASdpZs8bg++9N2rQJkZGR6NGIiEg6UoCStDNnTuTi0o4dk2Bn\nXxERSUsKUJJ2Zs82AejQQQFKRETiQwFK0orfH+nyffDBYZo0UeNJERGJDwUoSStffmlSXGzQqZNm\nn0REJH4UoCStVCzfqf5JRETiSQFK0srs2XacTouTTlL7AhERiR8FKEkbf/5p8PXXJiecENJecyIi\nElcKUJI25szR8p2IiFQNBShJG7NnR/o/deqk5TsREYkvBShJC6EQzJ1rp0GDMIcfrs2DRUQkvuzR\nPtDj8biBBcAHXq/3Vo/HkwE8DPwGHAY86PV6v4/PMEX2bPFiG5s2GfToEcAwEj0aERFJd5WZgRoG\nLN7u+xuBX7xe73+B0cD4WA5MpDJmzYr8LtChg5bvREQk/qIKUB6P5yLgE+Cn7W4+HfgMwOv1Lgda\neTyeGjEfoUgU5syxY7dbtGunAnIREYm/vS7heTyeI4FmXq93sMfjabndXQcCW7b7vujv24p291o1\na2Zit5v7Otao5efnxP0Y1UUqnMt162DxYmjbFpo2Tf7xpsI5TTU6p/Gh8xp7Oqexl6hzGk0NVE/A\n5/F4bgdOBpwej+dG4C9g+1HX+Pu23dq4sXRfxxm1/PwcCgu37P2Bslepci7feMOOZblp27acwkJ/\nooezR6lyTlOJzml86LzGns5p7MX7nO4pnO01QHm93vsr/vx34Xi21+sd8/efTwTmeTyeFsBSr9e7\n29knkXipaF+g/k8iIlJVKnMVXi+gHZEZqAuAR4CHPR7PXcChwKXxGaLI7oXDkf3vDjwwzFFHqX2B\niIhUjagDlNfrnQJM+cfN18R2OCKV8/XXNtats3H++WpfICIiVUeNNNPE7be7OOWUTAKBRI+kamn5\nTkREEkEBKg2sWWMwcaKDFStMFi2K/1WOyWT2bBObzeKUUxSgRESk6ihApYFnnnESCkXWryo21K0O\niopg4UKTY44JU6tWokcjIiLViQJUiisqghdecJCfH8Zut5gzJ+qytpT30Ud2QiFDy3ciIlLlFKBS\n3IsvOiguNrj88gDHHhti6VIb69dXj2rqitk2BSgREalqClApLBiMLN9lZlpcfLGfDh1CWJbBxx+n\n/zKeZUUKyGvVCnP00WpfICIiVUsBKoW9846dX3+10bt3gJo1oX37yEzM3Lnpv4zn9dpYu9ZG+/Yh\nzPTPi1IZlkW1uxxVRKqcAlSKsix48kknhmFx+eWR7UtatgxTu3aYOXNMLCvBA4yz2bMjqalDBy3f\nyY6yBw+k9pFNMdatS/RQRCSNKUClqAULTBYvNunaNUiTJpG0ZLPBKaeE+OMPG999l97/a2fNisyy\ntW8fSvBIJJk4PpqDe/zT2DZvwjn7w0QPR0TSWHp/yqaxJ590AHDVVTsuVWxbxkvfda3i4kiAbNEi\nRJ06aT7VJtErLibnluu3fuucPTOBgxGRdKcAlYJWrTKYMcPOMceEOP74HWdgKmZk0rmdwaefmvj9\nal8gO8r671DMX1ZTet1NhOrWwzl3FoQ0Qyki8aEAlYKeftqJZRlcdZV/p/3f6ta1aNYsxOefm5SV\nJWZ88VaxfUunTvpwlAj7gs9xPzuO4KGHUTLwDvwdO2PbsAH7siVVM4CSEjImPBOZHhWRakEBKsVs\n3Aj/+5+Dgw4K0737rmdg2rcP4fMZfP55+i3jWVak/iknx6KgQAFKAJ+PnJsi+5pvGf04ZGTg79gZ\nqLplvKz7h5Bz+y1kjX6oSo4nIomnABUPpaWRJk1xMGmSk9JSgwED/Nh3s0pXcWVaOi7jrVhhY/Vq\nG+3aBXE4Ej0aSQpDh2L/YSVll15O8PgTAAi0a49ls1VJgDJXfIv7uWcByHjhedJ26ldEdqAAFWP2\npYup3fpIcnv1iHn9hd8Pzz7rIDvbok+f3fe5Of74EBkZFh99lH4zUKNHOwE47zzVPwmRJboRIwg1\nakzJ4Hu33m7l1SRYcCz2RQsxNm2M3wAsi+y7BmGEQgSOPxHbxo1kvPl6/I4nIklDASqG7MuXknvu\nmdg2bMD52Se4xz0R09d/8007f/5po2/fADVq7P5xbjeceGKIFStMfv89fbZ1+fZbG2+95aBVqxBd\nuypAVXuBANk3XguhEFsefgSys3e429+xM0Y4jOPjuXEbgvOdt3HO+4jyLqdS9NR4LNPE/cxTpH0j\nNhFRgIoVc/kycs85A2PzZoqHPUj4gAPIevA+zB9XxuT1KxpnmqbFgAH+vT6+YhkvnWahRoyIzD4N\nGlS+U/G8VD+Zj43B8fUy+Pe/CbTvuNP9ca+DKi0l+97BWA4HJff9l3CDg/B364H9m+U4FnwWn2OK\nSNJQgIoB8+vl5J3TA2PTJrY88gRll1/NluGjMHw+cm64JiZLefPmmXz7rUmPHkEaNtz7b7fp1s5g\n2TIb06c7KCgI6eo7wfzeS+bI4YTq1IWRI3f5mGCrYwjXrh0JUHGYEcp8/BHMX9dQdsU1hJocCkDZ\nZVcAkPHsuJgfT0SSiwLUfjK/+XpbeBrzOOW9+wDg73EW5T3OwvHF57jH7/sPU/vnn5F907U8OTYy\n5XLllXuffQLweMLUqxfmo4/MtGiFM3y4C4Dbb9fsU7VnWWTfegOG30/x8FGQl7frx9ls+E/piPnH\n75grvo3pEGxrfiHz0dGEDqxD6c0Dt94eOOEkgkcehevdt7H99mtMjykiyUUBaj+YK74l75we2DZs\noHjUo5Rf0BfLgssuy+Duu11sfmAk4Vq1yLr/P9h+WlXp17cvWkhe77P56cWFzPrYzfHHB2ndOhzV\ncw0jMgu1YYON5ctT+3/zokU2PvzQzgknBGnXLg3SoOwX1ysv4fz8U8q79cDfrfseHxuvZbys/9yN\n4fNRcs9QrOycbXcYBmUDrsQIhciYOCGmxxSR5JLan6wJZH63grxe3bGtX8+WkWPx9bkYgMWLbbz9\ntoNx45zcMvwgioY9hFFWRs5N10I4uvADkZmt3At6ga+MUeatAFx1RXmlxpgu7Qy2zT7t3DhUqhdj\n4way/3MXVmYmxcMe3Ovj/e07AeCcMytmY3DM/5iMt98kUHAs5eecv9P9vrPPJVyzJu7Jz4HPF7Pj\nikhyUYDaB6b3O/LO7o5t3Tq2PPwIvov6b71v6tRIc6L8/DAvvODk+s/6UnZqd5yfzifj+fHRvf6q\nH8g77yxsmzbx49AJvGBdRFN+oIdrRqXG2a5dEMOwmDMndQvJP//cZO5cO23bBjnpJM0+VXdZ9w/F\ntn49JbfeQfighnt9vHXggQRaHo1jwaex6RIeDJJ95yAsw6D4gRGRHbz/ye3G16cftvXrcU2dsv/H\nFJGkpABVSebK7/8OT4VsGTEa38WXbL0vHIa337aTm2sxe3YpRx0VYvJkJ9fkTSaUm0f20Huw/bJ6\nj69v++1Xcs85E1vhX3w76CkufKsv5WEHNzGarBeer9RYa9WCo48O8+WXJlu27Mu7Tbztr7yT6s3+\n1ZdkTH6OoOcIyq64Ourn+Tt2xvD7cX46b7/HkDFxAvYV3+C7oC/BYwp2+7iySy7DstlwPztOLQ1E\n0pQCVCWYK78nt+fp2Ar/YsuDI/H1v3SH+7/4wmTtWhvdugWpU8fi9ddLad48xHOv5HFVy3lQWkLO\nzdfv9geqUVhI7jlnYP66hld6vUibcZezcKFJz54B+h21EOcH72H74/dKjblDhyDBoMH8+am3jDd/\nvsn8+XY6dgxy3HHRL39KGgqFyB50C4ZlRQrHK9GGPhCjOihj/Xqyhg8jnFNjh6aduxJu2Ah/19Nx\nLFuCfeEX+3VcEUlOClBRcnw8l7zuXTD/+pMt/30I378H7PSYt96KhJQzz4x0Ca9VC15/vYxmzUI8\nM+8orm34Jo6P55DxwsSdnmts3kTu+T0J/fgLV7f8iN5TLsTng1GjfDz1lA+rX59IYerLL1Rq3BXt\nDObOTa1lPMuCBx/U7JNEZLw4CcfSxfh6nUfgpJMr9dxAwbGEc2rsd4DKenAYtk2bKB14O9aBB+71\n8WUDrgTA/eyT+3VckZ2UlGBftFDbBiWYAtTeWBbuZ54k9/yeGMXFbBnzOL5Lr9jpYaEQTJtmp1at\nMG3bbqvVqV3bYsqUSIh6Ys1Z3OR4jMx77tzxEueSEnIvPJefvy7lhFrf8+Sydng8Id5/v5S+fQMY\nBpT3OhcrMysSvipRjF5QECI720q5QvI5c0y++MJO164BjjlGs0/VmbFhPVn3DyGclU3JvfdV/gUc\nDgJtT8H8+Sdsq37cpzGYy5dFlg8PO5yyXfz735XASScTbHYkrnfervTMscgOLAvzuxW4n3iU3F5n\ncICnMTVP60SttsfhfHealokTRAFqT8rLyb7p2kjRaK3abHpzOr4LL9rlQz/7zOSvv2ycfvrOm9we\ncIDF66+X4fGEeCRwDbeV3Et2xVJeeTm5/S/ktYVNaG1fxpINjenTx8+MGaU0a7YtOFjZOfh6nYu5\n5hccc6O/osjhgLZtg/z8s42ffkqNS9gsC0aMiFx5N3BgdH2vJH1l/XcYto0bKR14B+G69fbpNba2\nM5izD7NQlkX2nbdhhMMUDxse/fKhYVB26RUYwWDUF5BI+jI2b4KFC7H9tCqyP+NefhE2ijbjfOdt\nsm+5nlqtm1Or3fFkD7kT57y5BD3N8PU6D9vva8m9pA+55/fEXPl9Fb0TqZBa0xJVyPbnH9S4pC+O\nL78g0OoYip5/kXCDg3b7+KlTI6eyZ89d79GWnx+ZiTr7bDejvr8Fc06IuyZPJPThR1z90YWM5zKy\nXBZPPlpGr167fg3fRf1xT34e96TnCXTsEvV7ad8+xHvvOZg7184hh+x+E+Jk8eGHJl99ZdK9e4AW\nLTT7VJ3Zly0hY9IEgod7ti6J7Qt/h7/bGcyeucsZ5D1xTZ0S6TvV9XQCf79OtHy9ziNr2L24Jz1H\n6U0DweWq1PMlTfj95J3RFVZ8S+2/b7JsNqy8PMJ5NbFq1iJcsyZWXk2s3FzMb7/BsXABRjDyWRCu\nWRNfz174O3TG36EzVp06AJTeMojswQNxzp1NzVNOoOyKayi95bYde5NJ3BhWFU79FRZuifvB8vNz\nKCzcv0vO7IsXUaN/H8zf1+I7+1y2jH4sskPvbgQC0LJlFqYJS5eWYO6h3OjPPw169nDww88uruAp\n5tGWb2lOi6MCPPNsOU2a7OEUWRZ5ndth//ZrNixZQbhO3ajez88/Gxx3XDZduwaYNCn6vjSxOJeV\nZVnQuXMmX39tY+7cHWfh0kEizmnKCofJO70LjkUL2TRlGoG2p+zyYdGe05onH4v56xrWffczZGRE\nNQRjSxE12x6PbV0hG+Z9QfiQJpV5BwBkDbmLzCfGUvTYOMrPu6DSz08U/V2NncyRw8kafj+0b4+v\nbgOMTRuxbdgQ+bpxI8bGDVvDEoBlGASPaY2/Yxf8HTtHrvjc3QeLZeF8712y77kD85fVhOrUpeTe\n+yjvdR7VoXFevP+e5ufn7PYkagnvH1yv/Y+8M7pi++N3iu+5jy1PPrvH8ASRferWr7fRo0dwj+EJ\noE4dizenBTg0fyPjuJJvac5l/UqY/p5vz+EJwDDwXdS/0sXkBx9sccghYebPtxNI8gmo6dPtLF9u\nctZZwbQLT1I5rldfxrFoIb4zz95teKoMf4fOGKWl0W/0a1lkD7wJc+1vlF530z6FJ4Cyfw/4u6XB\nU6pVqYbMld+TOfohQnXrwdSpbBn7JEWT/semdz5g4/yFrP/mB9b9tp51q35j/aKv2ThrHuu/XcWm\nGXMovW0wwf87bvfhCcAw8HfrzoZ5X1By22BsmzdR4+oB5J3RFXP5sqp7o9WQAlSFUIisIXdR45rL\nsVwZFL30GmXX3hBVgn/rrUhNxJln7nrp7Z/q1LF4Y6ad3h3XMnHcRh54KBz1zP6+FpO3bx+kuNhg\n0aLkvRovHI70fbLZLAYO1JV31ZmxeRPZQ+/GysykZMiwmLxmZbd1cb36MhlvvEag4FhKb75tn48b\nbtQY/79Ow7FkceTKKak+wmGyb7k+sm/jfx+G3NxdP84wsLJzCDdsRLBFK6zatXf9uD1xuym99XY2\nzF9IebceOBZ8Rs0u7ci+/ZbYXa2nXwB2oADF3y0E+pxL5hNjCTY9lE0zZuPv9K+onuv3R2ZN6tUL\nc9xx0XfKrlsPxv4vh9N6Vq4Mzcqpge/sczB/WY1j7uyon7dtW5fkDVBvv21nxQqTc84Jcuih+oda\nnWWOeADbunWU3HzbHmsPKyNwYhsstzuqQnLzx5XkDLqFcE4Nip4aX6m+U7tSdlmk7sr97L5vLC6p\nJ+PFSZH6udO64z+9R5UcM9yoMUXPv8imV6cSanoo7gnPkHd2d4x16/brde3Ll1LzpAJyLusHwegm\nC9JdtQ9Qtt/XkndGV5yzZ1LeqQubZswmdOhhUT9/7lyTzZsNzjgjuMtdHeKhYusY9+Tno37OySeH\nsNst5s5NzusGCgsNHnjAhWla3HyzZp+qM/Obr3GPf5pgk6aUXXFN7F44IwP/SSdj/24FtrW/7f5x\nfj85V16GUVpC8UOjCTc+eL8PHWh7CkHPEbjefhPbn3/s9+tJ8rP9+QdZ/7mbcHYOxQ8+XOXHD7Tv\nyMbZn+A7tzeORQupeVpHzB9X7tNruaZOIa/7v7D/+AMZb79J9qCbNRtFNQ9Q5srvyTu9C/YV31J2\n6eUUvfAqVm5epV6jYu+7s86quuKi4NGtCRzVEuf706P+YZydDcceG2LJEhvr1ydXYWFhocE557j5\n+Wcb11zj33stmKQvyywMyGMAACAASURBVCL7jlsjLQMeeCjmV61t7Uq+h82Fsx4YimPpYsou6Ev5\n2efG5sDbtzSYOCE2rylJLevOQdiKNlNy1xDC9eonZhAuF1seG0fJzbdhrv6ZvG6dsX8eZQ0gQDhM\n5n+HUuPyS7BsJkXjJhBoeTTuyc+TOWpE/MadIqptgLIvWkhej39h/rqGksH3RH5Y760C/B/KymDG\nDDuNGoVp3boKC54rismDQVz/ezHqp3XoEMKyDObNS55lvIrwtGKFyWWX+bnzTvV9qs5cU17duuRR\nEXZiaW91UI7ZM7cu5RffH9sPCN+5vQnXyMU94Wmy7hmM+8nHcE2dgv3zz7Ct/hnKNfOaLpzvv0fG\n228SOPb4nbb8qnKGQentd7FlzOMYW7aQd+4ZUW1ybRRvoUb/C8ka/TChgw9h03uzKO95DptffI1Q\no8ZkDb+/Up8/6ahatjFwzvqAGpdeDD4fxSPH4utz8T4d65137Pz7326uu66cu++u2g9+o2gztVt6\nCB9wIBu+WLLrXeH/YckSG//6Vxb/938hBgzwc8wxIRo3tnZbJ7+7c7luncGSJTYWLTIpLDQYMCCA\nx1P5AFlYaNCrl5vvvjMZMMDPsGHlaX/VrS4N3z1jSxE1TyzAVrSZDfMXEm7UOKrnVeqcWha1jm2F\nsWkj67/7CezblrSNv/6iVvsTMTZvYtP/t3fncTbV/wPHX3e/d/axlKVVy0eWLJUiSsqeJaQ9SRHK\nF6VUStKmaJGopCQUUUKJSFJJCZH45Fe0Isx+Z+buvz/OJcoyy5259868n4+Hx5g75577nvfj3Dvv\n8zmf8/4sWYH/3MYl+TWOKWHc4yROGHfUnwerViVYoxaBmjXxduh82GLl5U2O1ZI52Ppi799krviC\nQN1zDv4s2jm1ffYpKf1uxpybQ96oMRTcNfSIN0qZd/xCap/rsG7birdVa3Jem04ovcrBn1u2/0Ta\nlW0x5eaSPXNumZzsFFU02xjE5oSYMuSYM5vkYXeC1UrO9Nl4O3Qq8b4OrH3XvXv5T6gLpaRS2L0n\nrtlvYfv8M3yt2xz3OeeeG6ROnSDr1llYt85ozVClSpDGjYM0aRKgadMAjRsHqV79nzo3Px82b7aw\nYYOZ9euNBpe//XZ4sfbOOzZGjPAyeLD30L9Hx1QZiydxbAnjx2H5ew/uex8ocvFUbCYT3jaX45o+\nDet36/BfeJHxeDBIypA7MO/bS96jT5RJ8QSQf+8DFN7cF/Nff2LetQvz7r+w7NqFeddfmHcbXy07\nfsG6ZTP2zz7F07lrye7IElGT8ORYLH/9iXv4vYcVT7HA17oNWYuWknp9L5IeG43l99/Ie/KZw04k\nbJ9/RsrtfYzu/7ffgXvME/z7gz1w1tlkz5hDWq8upPS7mewPPiqz90wsq1QjUK6XJpI0ZhTB1DSy\nZ87958OzBNxuqF8/iRo1QqxZ447KH3/r+nWkd2iD58pu5Lz+VpGeU1AAmzYZBdGGDUZB9OuvhxdE\np5wSpF69AHv22Ni0KUQg8M8vV6VKkCZN/im48vNNPPCAg7//NtOoUYAXXiikXr1jj0ZV5uIp2meg\nscqit5F+WQuCtU8iY/U3RW50CcXPqf3jj0i9+Vrcw0eQP/IhAFxTJpE0+gG8ba4ge/a8Io3olplQ\nyPisevQhcsc9S2Hf26IShhyrxWdd9w1pndsSOONMMj/98j/Hcazk1Lx7FynXX43th014Lm9L7tTp\nhBKTcE57haSH7gezmbynnzvu1Rn74oWk9LuJYPUTyPpoedmd+BxDNEegKkcBFQwa3YBfnkSgZi2y\n57xf6jODBQus9O/vYvhwDyNHRmneTihEepuWWPRW9m/YerC9f3Ht329cklu/3sKGDUZxtX+/GYcD\nGjYMcN55AZo0Mf6ddtp/L/llZsJDDzmZO9eGzRZi+HAvQ4Z4j3jn96HFU//+XsaOrTzFE8TOB2hM\nCYVI7dUN++rPyJ45B2+7jsV6enFzasrLpao6DX/9BmQtW4X1+w2kdbqCUFo6GSu/InTCCcX9DSLO\nvHsXVRrVxX9+M7I+/CQqMcixWkw+H+lXtMK69UeyPliCr/nF/9kklnJqyssl5bY+2D9djq9hIwL1\nG+B8ZxbBatXJfmNWkQcYnK+9TPID9+I/62yyFi877FJfeZBO5GVk714TN9/oYF6nd3C9PAn/2Yqs\nDz+JyLDqgbXvito8s0yYTBSEJ5M755R8Ml/VqiEuvzzAiBFeZs8u4Mcf3WzalEduLnz0UT5jx3ro\n0cPP6acfeb5UejpMmlTIrFn5VKsWYtw4B+3bJ7B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JysB+EAqR+/I0QulVoh2SOBqTibxx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\nA+sgMXVRE0A8AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11d06a630>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,6))\n",
    "plt.plot(portfolio.time_grid, path_gbm, 'r', label='gbm')\n",
    "plt.plot(portfolio.time_grid, path_jd, 'b', label='jd')\n",
    "plt.xticks(rotation=30)\n",
    "plt.legend(loc=0)\n",
    "# tag: dx_portfolio_1\n",
    "# title: Non-correlated risk factors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 116,
   "metadata": {
    "uuid": "873e0a44-470b-4fc6-ab12-956de039b21e"
   },
   "outputs": [],
   "source": [
    "correlations = [['gbm', 'jd', 0.9]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 117,
   "metadata": {
    "uuid": "3f517f85-6cd4-431f-9a86-51956d712576"
   },
   "outputs": [],
   "source": [
    "port_corr = derivatives_portfolio(\n",
    "                name='portfolio',\n",
    "                positions=positions,\n",
    "                val_env=val_env,\n",
    "                assets=underlyings,\n",
    "                correlations=correlations,\n",
    "                fixed_seed=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 118,
   "metadata": {
    "uuid": "be0fe6c4-3f67-4091-aabb-110043f3b2b2"
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>name</th>\n",
       "      <th>quant.</th>\n",
       "      <th>value</th>\n",
       "      <th>curr.</th>\n",
       "      <th>pos_value</th>\n",
       "      <th>pos_delta</th>\n",
       "      <th>pos_vega</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>am_put_pos</td>\n",
       "      <td>3</td>\n",
       "      <td>4.458565</td>\n",
       "      <td>EUR</td>\n",
       "      <td>13.375695</td>\n",
       "      <td>-2.0313</td>\n",
       "      <td>30.1416</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>eur_call_pos</td>\n",
       "      <td>5</td>\n",
       "      <td>2.804464</td>\n",
       "      <td>EUR</td>\n",
       "      <td>14.022320</td>\n",
       "      <td>3.3760</td>\n",
       "      <td>42.3500</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "           name  quant.     value curr.  pos_value  pos_delta  pos_vega\n",
       "0    am_put_pos       3  4.458565   EUR  13.375695    -2.0313   30.1416\n",
       "1  eur_call_pos       5  2.804464   EUR  14.022320     3.3760   42.3500"
      ]
     },
     "execution_count": 118,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "port_corr.get_statistics()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 119,
   "metadata": {
    "uuid": "c3f911fc-b3f5-4fd2-bf53-d45cbb78e67b"
   },
   "outputs": [],
   "source": [
    "path_gbm = port_corr.underlying_objects['gbm'].\\\n",
    "            get_instrument_values()[:, path_no]\n",
    "path_jd = port_corr.underlying_objects['jd'].\\\n",
    "            get_instrument_values()[:, path_no]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 120,
   "metadata": {
    "uuid": "e2b1e218-8908-42e9-a9c7-8dc0c58a95c1"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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4j2pIRgpQIiKS9BYvthEMGlxxhZ+77/bHu5xy0bp1iDFjvFx3XQqXX+7i448Ladjw4I3f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\n1ltd+HwwcqSXjz8u5Pjjtep0IFWrwss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X98Tx/Xclvobju/+Rcc0VZtPMYQ9WzL2GhKhg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\n5AAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11d06a320>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.plot(portfolio.time_grid, path_gbm, 'r', label='gbm')\n",
    "plt.plot(portfolio.time_grid, path_jd, 'b', label='jd')\n",
    "plt.xticks(rotation=30)\n",
    "plt.legend(loc=0);\n",
    "# tag: dx_portfolio_2\n",
    "# title: Highly correlated risk factors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 121,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([  0.        ,  39.28773263,  23.82860521, ...,   0.        ,\n",
       "         6.3226358 ,   7.94977565])"
      ]
     },
     "execution_count": 121,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pv1 = 5 * port_corr.valuation_objects['eur_call_pos'].\\\n",
    "            present_value(full=True)[1]\n",
    "pv1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 122,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 22.05537489,  10.91479057,  20.26091821, ...,  21.69302419,\n",
       "        17.76714942,   0.        ])"
      ]
     },
     "execution_count": 122,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pv2 = 3 * port_corr.valuation_objects['am_put_pos'].\\\n",
    "            present_value(full=True)[1]\n",
    "pv2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 123,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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sc5Kvr4qvUpjcd03xtSouLlj7TjHV5rkyrT59lrqkPrZrffxMtcF2qZ7tUj3b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\njivT6gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11be34dd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.hist([pv1, pv2], bins=25,\n",
    "         label=['European call', 'American put']);\n",
    "plt.axvline(pv1.mean(), color='r', ls='dashed',\n",
    "            lw=1.5, label='call mean = %4.2f' % pv1.mean())\n",
    "plt.axvline(pv2.mean(), color='r', ls='dotted',\n",
    "            lw=1.5, label='put mean = %4.2f' % pv2.mean())\n",
    "plt.xlim(0, 80); plt.ylim(0, 10000)\n",
    "plt.legend();\n",
    "# tag: dx_portfolio_3\n",
    "# title: Frequency distributions of option position present values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 124,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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YkyroZcOYJDUMpymlCurx3HP0eO653GVIkkrgyJhUQQNHjgC8z5gkNQJHxiRJ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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11bccd860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pvs = pv1 + pv2\n",
    "plt.figure(figsize=(10, 6))\n",
    "plt.hist(pvs, bins=50, label='portfolio');\n",
    "plt.axvline(pvs.mean(), color='r', ls='dashed',\n",
    "            lw=1.5, label='mean = %4.2f' % pvs.mean())\n",
    "plt.xlim(0, 80); plt.ylim(0, 7000)\n",
    "plt.legend();\n",
    "# tag: dx_portfolio_4\n",
    "# title: Portfolio frequency distribution of present values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 125,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "16.736290069957963"
      ]
     },
     "execution_count": 125,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# portfolio with correlation\n",
    "pvs.std()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 126,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "21.71542409437863"
      ]
     },
     "execution_count": 126,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# portfolio without correlation\n",
    "pv1 = 5 * portfolio.valuation_objects['eur_call_pos'].\\\n",
    "            present_value(full=True)[1]\n",
    "pv2 = 3 * portfolio.valuation_objects['am_put_pos'].\\\n",
    "            present_value(full=True)[1]\n",
    "(pv1 + pv2).std()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"http://hilpisch.com/tpq_logo.png\" alt=\"The Python Quants\" width=\"35%\" align=\"right\" border=\"0\"><br>\n",
    "\n",
    "<a href=\"http://tpq.io\" target=\"_blank\">http://tpq.io</a> | <a href=\"http://twitter.com/dyjh\" target=\"_blank\">@dyjh</a> | <a href=\"mailto:training@tpq.io\">training@tpq.io</a>\n",
    "\n",
    "**Quant Platform** |\n",
    "<a href=\"http://quant-platform.com\">http://quant-platform.com</a>\n",
    "\n",
    "**Python for Finance** |\n",
    "<a href=\"http://python-for-finance.com\" target=\"_blank\">Python for Finance @ O'Reilly</a>\n",
    "\n",
    "**Derivatives Analytics with Python** |\n",
    "<a href=\"http://derivatives-analytics-with-python.com\" target=\"_blank\">Derivatives Analytics @ Wiley Finance</a>\n",
    "\n",
    "**Listed Volatility and Variance Derivatives** |\n",
    "<a href=\"http://lvvd.tpq.io\" target=\"_blank\">Listed VV Derivatives @ Wiley Finance</a>\n",
    "\n",
    "**Python Training** |\n",
    "<a href=\"http://training.tpq.io\" target=\"_blank\">Python for Finance University Certificate</a>"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
